Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T10:39:26.917815Z
Paper Citation Record · LEDGER
On the weak and strong Lefschetz properties for initial ideals of determinantal ideals with respect to diagonal monomial orders
As of 8 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2506.05193.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
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
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
32 of 32 outbound references displayed
- verified exact1
- verified fuzzy24
- unresolved7
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 4bdc36ba-07bb-476a-8727-d25829915302 · outbound
This paper cites Combinatorial Lefschetz theorems beyond positivity.
On the weak and strong Lefschetz properties for initial ideals of determinantal ideals with respect to diagonal monomial orders Combinatorial Lefschetz theorems beyond positivity
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T10:39:24.195668Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c103fc35-7b74-4320-b8f5-2f6629ca29af · outbound
This paper cites Anisotropy, biased pairings, and the Lefschetz property for pseudomanifolds and cycles.
On the weak and strong Lefschetz properties for initial ideals of determinantal ideals with respect to diagonal monomial orders Anisotropy, biased pairings, and the Lefschetz property for pseudomanifolds and cycles
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T10:39:24.258361Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b27ea735-0b31-4dd1-8ae2-4a359776c712 · outbound
This paper cites Billera and Carl W.
On the weak and strong Lefschetz properties for initial ideals of determinantal ideals with respect to diagonal monomial orders Billera and Carl W
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:30.820144Z
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 2fc706a6-c2eb-49ce-9fda-036189bb122d · outbound
This paper cites an unresolved cited work.
On the weak and strong Lefschetz properties for initial ideals of determinantal ideals with respect to diagonal monomial orders Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:39:30.717680Z
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 d10a7b8c-ca35-419f-9f94-a1bddaac6593 · outbound
This paper cites Gr¨ obner bases and determinantal ideals.
On the weak and strong Lefschetz properties for initial ideals of determinantal ideals with respect to diagonal monomial orders Gr¨ obner bases and determinantal ideals
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:30.567987Z
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 d6fa294b-6587-416f-b8ed-30dd2ec40742 · outbound
This paper cites Products of borel fixed ideals of maximal minors.
On the weak and strong Lefschetz properties for initial ideals of determinantal ideals with respect to diagonal monomial orders Products of borel fixed ideals of maximal minors
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:30.409921Z
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 f7434ed8-3848-41e3-9227-72c0c236b94e · outbound
This paper cites Determinants, Gr¨ obner Bases and Cohomology.
On the weak and strong Lefschetz properties for initial ideals of determinantal ideals with respect to diagonal monomial orders Determinants, Gr¨ obner Bases and Cohomology
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:30.288251Z
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 872148f1-ba8f-456c-92f1-3fd5de69780e · outbound
This paper cites Cambridge Studies in Advanced Mathematics.
On the weak and strong Lefschetz properties for initial ideals of determinantal ideals with respect to diagonal monomial orders Cambridge Studies in Advanced Mathematics
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:30.135692Z
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 1de3d0f5-03b8-47a6-8c8f-b7b49d96e3b1 · outbound
This paper cites Guccione, and Juan J.
On the weak and strong Lefschetz properties for initial ideals of determinantal ideals with respect to diagonal monomial orders Guccione, and Juan J
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:30.000719Z
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 6562fe78-dd9d-4109-9463-fe6c89ad9596 · outbound
This paper cites On short graded algebras.
On the weak and strong Lefschetz properties for initial ideals of determinantal ideals with respect to diagonal monomial orders On short graded algebras
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:29.899349Z
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 c746ccee-90dc-4a74-ba2f-e5a5675320de · outbound
This paper cites Reduction numbers and initial ideals.
On the weak and strong Lefschetz properties for initial ideals of determinantal ideals with respect to diagonal monomial orders Reduction numbers and initial ideals
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:29.790388Z
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 e9ced4d4-ea13-4bc9-989e-133d59f61d4b · outbound
This paper cites Square-free gr¨ obner degenerations.
On the weak and strong Lefschetz properties for initial ideals of determinantal ideals with respect to diagonal monomial orders Square-free gr¨ obner degenerations
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:29.629769Z
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 30e72288-5093-4431-b4df-f35de1a0745a · outbound
This paper cites Grayson and Michael E.
On the weak and strong Lefschetz properties for initial ideals of determinantal ideals with respect to diagonal monomial orders Grayson and Michael E
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T10:39:25.306730Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 56c75c4b-7cd8-448e-89c7-85335371afba · outbound
This paper cites Graduate Texts in Mathematics.
On the weak and strong Lefschetz properties for initial ideals of determinantal ideals with respect to diagonal monomial orders Graduate Texts in Mathematics
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:29.517485Z
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 ccfd8885-c82e-497b-a185-f044ef3e5cc3 · outbound
This paper cites Cohen-macaulay rings, combinatorics, and simplicial complexes.
On the weak and strong Lefschetz properties for initial ideals of determinantal ideals with respect to diagonal monomial orders Cohen-macaulay rings, combinatorics, and simplicial complexes
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:29.384330Z
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 c8c0a50f-9926-4c94-9595-c325df3935fb · outbound
This paper cites The Theory and Applications of Harmonic Inte- grals.
On the weak and strong Lefschetz properties for initial ideals of determinantal ideals with respect to diagonal monomial orders The Theory and Applications of Harmonic Inte- grals
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:29.248138Z
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 ce05bf5e-1c8b-42b0-a3a1-91c73bfdadbd · outbound
This paper cites L’analysis situs et la g´ eom´ etrie alg´ ebrique.
On the weak and strong Lefschetz properties for initial ideals of determinantal ideals with respect to diagonal monomial orders L’analysis situs et la g´ eom´ etrie alg´ ebrique
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:29.138948Z
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 485d9e63-ae94-4a9a-a43d-217adb2d67eb · outbound
This paper cites Some properties of enumeration in the theory of modular systems.
On the weak and strong Lefschetz properties for initial ideals of determinantal ideals with respect to diagonal monomial orders Some properties of enumeration in the theory of modular systems
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:29.029198Z
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 eab6c8c3-f709-4f3a-b22e-835ecd02ed0b · outbound
This paper cites McMullen.
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:28.890374Z
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 34930ea5-3c03-4713-a0f7-3dc08ad204e6 · outbound
This paper cites Combinatorial Commutative Algebra.
On the weak and strong Lefschetz properties for initial ideals of determinantal ideals with respect to diagonal monomial orders Combinatorial Commutative Algebra
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:28.768008Z
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 d4cadf90-c432-402d-95af-a8502e4df657 · outbound
This paper cites an unresolved cited work.
On the weak and strong Lefschetz properties for initial ideals of determinantal ideals with respect to diagonal monomial orders Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:39:28.630642Z
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 ae0e7d08-0ea2-4684-a1d0-44b4ea3c80a1 · outbound
This paper cites Algebraic shifting of strongly edge decomposable spheres.
On the weak and strong Lefschetz properties for initial ideals of determinantal ideals with respect to diagonal monomial orders Algebraic shifting of strongly edge decomposable spheres
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:28.497696Z
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 38e9c1cc-3f30-44a8-b56b-eecafd03388f · outbound
This paper cites The irreducibility of ladder determinantal varieties.
On the weak and strong Lefschetz properties for initial ideals of determinantal ideals with respect to diagonal monomial orders The irreducibility of ladder determinantal varieties
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:28.355207Z
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 72d92b10-8cc4-43d4-bb80-655f21783231 · outbound
This paper cites The characteristic 2 anisotropicity of simplicial spheres.
On the weak and strong Lefschetz properties for initial ideals of determinantal ideals with respect to diagonal monomial orders The characteristic 2 anisotropicity of simplicial spheres
Reference 24
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T10:39:26.271721Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6963013c-8eb3-4538-a4a9-b265d4620dcc · outbound
This paper cites Cohen-macaulay quotients of polynomial rings.
On the weak and strong Lefschetz properties for initial ideals of determinantal ideals with respect to diagonal monomial orders Cohen-macaulay quotients of polynomial rings
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:28.222153Z
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 7aeca65e-3518-45c5-953d-a07c66867c4c · outbound
This paper cites Villarreal.
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:28.036623Z
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 fa70fd2a-5c48-485c-b89c-5e5906448099 · outbound
This paper cites Crossings and nestings in set partitions of classical types.
On the weak and strong Lefschetz properties for initial ideals of determinantal ideals with respect to diagonal monomial orders Crossings and nestings in set partitions of classical types
Reference 27
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T10:39:27.079079Z
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 30ce48d7-54c4-4a41-8ba1-8d626f1a0073 · outbound
This paper cites Type-b generalized triangulations and determinantal ideals.
On the weak and strong Lefschetz properties for initial ideals of determinantal ideals with respect to diagonal monomial orders Type-b generalized triangulations and determinantal ideals
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:27.867038Z
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 776915b8-5080-4949-8c6e-b962d00ba4a7 · outbound
This paper cites an unresolved cited work.
On the weak and strong Lefschetz properties for initial ideals of determinantal ideals with respect to diagonal monomial orders Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:39:27.753519Z
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 3061ddde-a305-4e10-aa7e-06c714959560 · outbound
This paper cites Gr¨ obner bases and stanley decompositions of determinantal rings.
On the weak and strong Lefschetz properties for initial ideals of determinantal ideals with respect to diagonal monomial orders Gr¨ obner bases and stanley decompositions of determinantal rings
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:27.600393Z
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 babfad11-ac0e-41b2-bcd8-7b600a889f6f · outbound
This paper cites g-elements of matroid complexes.
On the weak and strong Lefschetz properties for initial ideals of determinantal ideals with respect to diagonal monomial orders g-elements of matroid complexes
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:27.447563Z
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 88ebcb43-17e2-42bc-bef6-d86e8a6aac06 · outbound
This paper cites The lefschetz property for componentwise linear ideals and gotzmann ideals.
On the weak and strong Lefschetz properties for initial ideals of determinantal ideals with respect to diagonal monomial orders The lefschetz property for componentwise linear ideals and gotzmann ideals
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:27.273253Z
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.
Pith citing papers
No inbound Pith citation observations are available.