Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T10:41:27.874790Z
Paper Citation Record · LEDGER
As of 7 August 2026, this Paper Citation Record lists 58 of 58 outbound references and 1 inbound Pith citation observation for arXiv:2509.03982.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T10:41:27.874790Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-05-20T01:17:50.944228Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-20T01:17:54.715225Z
58 of 58 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 00457fbb-010e-4a55-b69f-e587f22b7440 · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Andr\' e , Sur la conjecture des p -courbures de Grothendieck-Katz et un probl\` e me de Dwork, Geometric aspects of Dwork theory (2004), pp
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e9d38fb4-002a-42c0-a2ee-907e73f957ea · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Arbarello, M
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 18244bab-a067-4a33-9654-4666c6da148b · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Unresolved cited work
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3fb95e04-5c57-476d-94ef-b26722fdba89 · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Berthelot, -modules arithm\' e tiques I, Op\' e rateurs diff\' e rentiels de niveau fini, Ann
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3ad72180-6159-4dc3-8cba-ae80f3ed255b · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Berthelot, -modules arithm\' e tiques II, Descente par Frobenius , M\' e m
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 738533d1-31ac-4484-acb9-e201791dac89 · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Bezrukavnikov, R
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 397e0403-5bf1-48c5-8088-e51e72a492b6 · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Unresolved cited work
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 984a838f-0c9b-44d9-b65a-49c500671a13 · outbound
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 30473233-f96f-469c-b2eb-138dc86a33b8 · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Unresolved cited work
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation a0ca7452-320a-45a3-a197-d1a4fb47fa3f · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Faltings, Real projective structures on Riemann surfaces, Compos
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 9cfb780e-7b91-49cd-8aad-17392c964a50 · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Fantechi, L
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 91bc124e-0e57-4c5a-928e-0f96540d8c30 · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Gieseker, Flat vector bundles and the fundamental group in non-zero characteristic, Ann
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c71777ce-e867-4a73-9576-ad38bd1f5d71 · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Unresolved cited work
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 5dfb2610-3789-4dec-b027-d4e95e9803cc · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Grothendieck, \' E l\' e ments de g\' e om\' e trie alg\' e brique
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 72d28118-963c-4cf5-b598-4af4f43a9e91 · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Hartshorne, Algebraic geometry , Grad
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d286517b-5d91-4297-9d7c-bc93f24e616d · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Hoshi, Frobenius-projective structures on curves in positive characteristic, Publ
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 50ddd2ae-d160-4e9b-87c0-42b3727383f1 · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Hoshi, Frobenius-affine structures and Tango curves, Nagoya Math
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 7e950c45-0546-4abb-b972-75ac932c2b40 · outbound
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c8239780-c5a9-47a7-9ccc-195e98a8e187 · outbound
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9b0a1ebf-7b37-49f6-ad36-eb66228112a6 · outbound
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ae63ad93-0d1c-4b92-a100-08858f84f0a1 · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper The moduli space of dormant opers on elliptic curves
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation aa06a7f6-a371-483b-a3ec-465e7a96931c · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Kato, Log smooth deformation and moduli of log smooth curves, Internat
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 04b35e8f-67a0-47b7-bc78-8c8a8832f137 · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Katz, Nilpotent connections and the monodromy theorem: Applications of a result of Turrittin, Inst
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ef95bb53-659f-4408-9e81-a71cf725ea7c · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Unresolved cited work
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation b117f941-56c2-494e-8be5-3d60827fd680 · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Unresolved cited work
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1479fbc7-70c0-421f-8a54-0dc159e50a72 · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Unresolved cited work
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 00b79970-5e64-4fdc-b08d-9a6d77858e87 · outbound
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 8bc7e3ab-a1e3-4deb-af84-4738c3e6e32f · outbound
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation fd6f53a3-8bd6-4611-9f9e-9dff47b359f9 · outbound
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8f675f7d-f3fd-4f90-87aa-bfd6ab005ced · outbound
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 6adaa664-ec26-4224-9404-6f43c2a66806 · outbound
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation bb5cd34f-8b19-4474-9a19-2e060be7b814 · outbound
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 46f05a9d-e787-4361-8b52-06605c7d5b99 · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Li, On maximally Frobenius destabilized vector bundles, Bull
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a829918b-0d09-438a-9244-70cb35799773 · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Unresolved cited work
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6ad9c842-7e0f-4972-bc55-f99a5ab63d0f · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Unresolved cited work
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e081b866-01e1-431f-853a-c286b3bf8960 · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Mochizuki, A theory of ordinary p -adic curves, Publ
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f130d196-dd6c-4ddd-9afb-0b022ba0adc3 · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Mochizuki, Foundations of p -adic Teichm\" u ller theory , AMS/IP Stud
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 698a3ab8-070a-43b6-8f9f-eccd72f3c589 · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Montagnon, G\' e n\' e ralisation de la th\' e orie arithm\' e tique des D-modules \` a la g\' e om\' e trie logarithmique, Ph.D
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d456c076-c211-47a7-acce-ce6385084c82 · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Ogus, F -Crystals, Griffiths Transversality, and the Hodge Decomposition, Ast\' e risque 221 , Soc
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ba0025a6-ab20-44eb-a634-cd3c1c01c50e · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Ogus, Higgs cohomology, p -curvature, and the Cartier isomorphism, Compos
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 60197b80-e08a-42b4-aee9-907689885d11 · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Ohkawa, On logarithmic nonabelian Hodge theory of higher level in characteristic p , Rend.Sem.Mat
Reference 41
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 665709cb-79d6-46ca-ab0f-816b6f3e90e3 · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Osserman, The generalized Verschiebung map for curves of genus 2 , Math
Reference 42
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b0f8342d-8d6c-45d9-99b1-9c525d673d69 · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Wakabayashi, Duality for dormant opers, J
Reference 43
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 91d8fa8d-0fc8-46b8-a9bf-30cc31a53311 · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Wakabayashi, Spin networks, Ehrhart quasi-polynomials, and combinatorics of dormant indigenous bundles, Kyoto J
Reference 44
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b8deee96-3905-4e6b-a587-a50e63e54d9a · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Wakabayashi, Moduli of Tango structures and dormant Miura opers, Mosc
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 7ca2e679-c9f5-48f3-b4fc-b936ca2ac7c2 · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Wakabayashi, A theory of dormant opers on pointed stable curves , Ast\' e risque 432 , Soc
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a1b3ec40-0322-4bd6-9688-df7303b230e4 · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Projective and affine structures in positive characteristic I: Chern class formulas and Characterizations of projective spaces
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 1fd0080c-aab2-40cd-a94c-41743181f7df · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Differential modules and dormant opers of higher level
Reference 48
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ed7e31b5-6035-4b31-8a51-ffec515a9663 · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Wakabayashi, Cyclic \' e tale coverings of generic curves and ordinariness of dormant opers, Journal of Algebra 623 (2023), pp
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 6c6ceac9-d55c-4bcd-8956-ba3a15548ccf · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Wakabayashi, Frobenius-Ehresmann structures and Cartan geometries in positive characteristic, Indag
Reference 50
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 13f46f93-b0f8-49d1-bca0-0d01aaa502cf · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Infinitesimal deformations of opers in positive characteristic and the de Rham cohomology of symmetric products
Reference 51
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 66fd7b05-405e-4496-aaa5-6c3f266d3e8e · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Opers with real monodromy and Eichler-Shimura isomorphism
Reference 52
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 673cc83f-c90c-4024-b4f3-817eb4cd1f7b · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Frobenius pull-back of parabolic bundles and dormant opers
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 12706f38-713a-484c-a96c-5de25af27976 · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Wakabayashi, Inseparable Gauss maps and dormant opers, Math
Reference 54
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a30747e4-e7af-45da-8513-a60c154629ae · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Wakabayashi, The generic \' e taleness of the moduli space of dormant _ 2 -opers, J
Reference 55
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 11669721-fefe-4630-9857-7233846d8f1b · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Arithmetic liftings and 2d TQFT for dormant opers of higher level
Reference 56
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7836ae2b-3903-43f7-8d7c-e820645fca26 · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Wakabayashi, Towers of the moduli space of dormant PGL _2^ ( ) -opers, in preparation
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 10a57ded-39ce-428d-9232-837e0900a12a · outbound
The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Zhao, Maximally Frobenius-destabilized vector bundles over smooth algebraic curves, Internat
Reference 58
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 93287453-995c-4637-a86a-2c6c93ecc93e · inbound
Genus formulas for dormant modular curves and asymptotic behavior of their function fields The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.