Paper Citation Record · LEDGER

PCMI lecture notes: Motivic explorations in enumerative geometry

As of 11 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 0 inbound Pith citation observations for arXiv:2606.10830.

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pith.paper-citation-record.v1
2606.10830 v1

Coverage vector

measured 44 of 44 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-06-27T11:36:24.450687Z

measured 44 of 44 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

44 of 44 outbound references displayed

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Outbound references

Observation 95790d89-c11b-435a-b481-7241f0614de1 · outbound

This paper cites an unresolved cited work.

PCMI lecture notes: Motivic explorations in enumerative geometry Unresolved cited work

Reference 1

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Observation c1742db5-5e28-478f-88ef-1c0dd45236f8 · outbound

This paper cites The trace of the local \( A ^1\) -degree.

PCMI lecture notes: Motivic explorations in enumerative geometry The trace of the local \( A ^1\) -degree

Reference 2

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Observation b5a81a47-16ba-43e8-9ee4-d9b5563e32de · outbound

This paper cites B \'e zoutians and the \( A ^1\) -degree.

PCMI lecture notes: Motivic explorations in enumerative geometry B \'e zoutians and the \( A ^1\) -degree

Reference 3

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Observation 1bea3e27-b5a9-4282-b5b4-eb303885e797 · outbound

This paper cites Benedetti and R.

PCMI lecture notes: Motivic explorations in enumerative geometry Benedetti and R

Reference 4

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This paper cites A bit of tropical geometry.

PCMI lecture notes: Motivic explorations in enumerative geometry A bit of tropical geometry

Reference 5

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This paper cites Euler classes: six-functors formalism, dualities, integrality and linear subspaces of complete intersections.

PCMI lecture notes: Motivic explorations in enumerative geometry Euler classes: six-functors formalism, dualities, integrality and linear subspaces of complete intersections

Reference 6

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Observation f5b3a4bb-8627-43c1-9af1-0c6bb10ed71f · outbound

This paper cites On the triple tangent planes of surfaces of the third order.

PCMI lecture notes: Motivic explorations in enumerative geometry On the triple tangent planes of surfaces of the third order

Reference 7

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Observation 0cd36c5e-e226-454f-920f-6642034bb95a · outbound

This paper cites 3264 and all that.

PCMI lecture notes: Motivic explorations in enumerative geometry 3264 and all that

Reference 8

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Observation ca625326-5503-435e-bbbc-86fc5d15a113 · outbound

This paper cites Non-archimedean amoebas and tropical varieties.

PCMI lecture notes: Motivic explorations in enumerative geometry Non-archimedean amoebas and tropical varieties

Reference 9

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PCMI lecture notes: Motivic explorations in enumerative geometry Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-27T11:36:24.450687Z

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Observation af9a9e32-37b7-4f91-b8da-a621dfd31e92 · outbound

This paper cites Quadratic Segre indices.

PCMI lecture notes: Motivic explorations in enumerative geometry Quadratic Segre indices

Reference 11

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Observation 5d63b187-23a2-4916-ae33-4fd14548a817 · outbound

This paper cites Abundance of real lines on real projective hypersurfaces.

PCMI lecture notes: Motivic explorations in enumerative geometry Abundance of real lines on real projective hypersurfaces

Reference 12

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Observation 149b2f91-edca-4e87-8484-8e822ee5e630 · outbound

This paper cites The Caporaso - Harris formula and plane relative Gromov - Witten invariants in tropical geometry.

PCMI lecture notes: Motivic explorations in enumerative geometry The Caporaso - Harris formula and plane relative Gromov - Witten invariants in tropical geometry

Reference 13

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Observation 535b30ec-3c02-4fbf-8aa8-23c744b557d5 · outbound

This paper cites Algebraic topology.

PCMI lecture notes: Motivic explorations in enumerative geometry Algebraic topology

Reference 14

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Observation ccf86459-c45b-415b-8482-b4dce24ff157 · outbound

This paper cites Arithmetic counts of tropical plane curves and their properties.

PCMI lecture notes: Motivic explorations in enumerative geometry Arithmetic counts of tropical plane curves and their properties

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-27T11:36:24.450687Z

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Observation 00779f0d-338e-4c28-bf22-40a157eaaa43 · outbound

This paper cites Quadratically Enriched Plane Curve Counting via Tropical Geometry.

PCMI lecture notes: Motivic explorations in enumerative geometry Quadratically Enriched Plane Curve Counting via Tropical Geometry

Reference 16

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Observation 867bd73c-268b-495e-a74e-4bebe8664c20 · outbound

This paper cites Tropical Methods for Counting Plane Curves -- Complex , Real and Quadratically Enriched.

PCMI lecture notes: Motivic explorations in enumerative geometry Tropical Methods for Counting Plane Curves -- Complex , Real and Quadratically Enriched

Reference 17

Resolution: verified exact; arxiv_id, observed 2026-07-03T07:57:44.516405Z

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Observation 675619dc-2edc-4299-a1a2-7d9acb8d5bec · outbound

This paper cites A quadratically enriched correspondence theorem.

PCMI lecture notes: Motivic explorations in enumerative geometry A quadratically enriched correspondence theorem

Reference 18

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Observation 014fb5c5-ccc8-4bd4-a5ae-f7d0a12d7f41 · outbound

This paper cites Quadratically enriched tropical intersections.

PCMI lecture notes: Motivic explorations in enumerative geometry Quadratically enriched tropical intersections

Reference 19

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Observation b246cd82-49f3-4427-96a5-b5cebf09f5ca · outbound

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PCMI lecture notes: Motivic explorations in enumerative geometry Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-27T11:36:24.450687Z

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Observation 2a68290b-7f38-4da6-9669-291b65214d2a · outbound

This paper cites Solomon, and Kirsten Wickelgren,A quadratically enriched count of rational curves, preprint, revised February 2026.

PCMI lecture notes: Motivic explorations in enumerative geometry Solomon, and Kirsten Wickelgren,A quadratically enriched count of rational curves, preprint, revised February 2026

Reference 21

Resolution: verified exact; arxiv_id, observed 2026-07-03T07:57:44.518865Z

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Observation 11913160-bed6-45bf-b625-64febbced749 · outbound

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PCMI lecture notes: Motivic explorations in enumerative geometry Solomon, and Kirsten Wickelgren

Reference 22

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Observation 38a44435-7206-4e2e-b2ce-efe1362cd448 · outbound

This paper cites The class of Eisenbud - Khimshiashvili - Levine is the local \( A ^1\) - Brouwer degree.

PCMI lecture notes: Motivic explorations in enumerative geometry The class of Eisenbud - Khimshiashvili - Levine is the local \( A ^1\) - Brouwer degree

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-27T11:36:24.450687Z

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Observation ea731217-4fcd-4e95-8e79-d3abbd38fef1 · outbound

This paper cites An arithmetic count of the lines on a smooth cubic surface.

PCMI lecture notes: Motivic explorations in enumerative geometry An arithmetic count of the lines on a smooth cubic surface

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-27T11:36:24.450687Z

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PCMI lecture notes: Motivic explorations in enumerative geometry Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-27T11:36:24.450687Z

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Observation ad9abef0-04bb-4a46-9da6-d1e5b87861ac · outbound

This paper cites Toward an algebraic theory of Welschinger invariants.

PCMI lecture notes: Motivic explorations in enumerative geometry Toward an algebraic theory of Welschinger invariants

Reference 26

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Observation d126b866-99cd-4e89-b547-d28f2e22725c · outbound

This paper cites Aspects of enumerative geometry with quadratic forms.

PCMI lecture notes: Motivic explorations in enumerative geometry Aspects of enumerative geometry with quadratic forms

Reference 27

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Observation d8e811ba-94a3-4984-b824-0e18184383d4 · outbound

This paper cites An arithmetic enrichment of B \'e zout 's theorem.

PCMI lecture notes: Motivic explorations in enumerative geometry An arithmetic enrichment of B \'e zout 's theorem

Reference 28

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Observation f7b3a7e8-5c10-4f45-aba5-6c82b81b3eac · outbound

This paper cites Circles of apollonius two ways, 2022.

PCMI lecture notes: Motivic explorations in enumerative geometry Circles of apollonius two ways, 2022

Reference 29

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Observation fe7022f5-371b-4924-b517-87d61235ba6d · outbound

This paper cites Enumerative tropical algebraic geometry in \( R ^2\).

PCMI lecture notes: Motivic explorations in enumerative geometry Enumerative tropical algebraic geometry in \( R ^2\)

Reference 30

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PCMI lecture notes: Motivic explorations in enumerative geometry Unresolved cited work

Reference 31

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PCMI lecture notes: Motivic explorations in enumerative geometry Tropical geometry

Reference 32

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PCMI lecture notes: Motivic explorations in enumerative geometry Milnor and James D

Reference 33

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Observation c0b8d07e-f74e-45d1-88bf-c195cb472aae · outbound

This paper cites Introduction to tropical geometry , volume 161 of Grad.

PCMI lecture notes: Motivic explorations in enumerative geometry Introduction to tropical geometry , volume 161 of Grad

Reference 34

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Observation f22d7331-7565-47e4-8878-7c65522a93d0 · outbound

This paper cites Intrinsic signs and lower bounds in real algebraic geometry.

PCMI lecture notes: Motivic explorations in enumerative geometry Intrinsic signs and lower bounds in real algebraic geometry

Reference 35

Resolution: unresolved; no resolver link, observed 2026-06-27T11:36:24.450687Z

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Observation ea74e6d3-377f-4724-85bb-8e8ddf1966ab · outbound

This paper cites Quadratic types and the dynamic Euler number of lines on a quintic threefold.

PCMI lecture notes: Motivic explorations in enumerative geometry Quadratic types and the dynamic Euler number of lines on a quintic threefold

Reference 36

Resolution: unresolved; no resolver link, observed 2026-06-27T11:36:24.450687Z

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Observation e270842b-75a5-4616-8d10-f436d7c94f44 · outbound

This paper cites Computing \( A ^1\) - Euler numbers with Macaulay2.

PCMI lecture notes: Motivic explorations in enumerative geometry Computing \( A ^1\) - Euler numbers with Macaulay2

Reference 37

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Observation c24c0f1d-e8b2-4719-85bd-81b8a5f3b94c · outbound

This paper cites On the distribution of surfaces of the third order into species, in reference to the absence or presence of singular points, and the reality of their lines.

PCMI lecture notes: Motivic explorations in enumerative geometry On the distribution of surfaces of the third order into species, in reference to the absence or presence of singular points, and the reality of their lines

Reference 38

Resolution: unresolved; no resolver link, observed 2026-06-27T11:36:24.450687Z

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Observation 24fc953c-ca7a-4262-b67b-0e08dc2f2679 · outbound

This paper cites The Non-Singular Cubic Surfaces.

PCMI lecture notes: Motivic explorations in enumerative geometry The Non-Singular Cubic Surfaces

Reference 39

Resolution: unresolved; no resolver link, observed 2026-06-27T11:36:24.450687Z

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Observation c068b5f1-e566-4db6-9c1f-f6daeffabe05 · outbound

This paper cites A tropical calculation of the Welschinger invariants of real toric Del Pezzo surfaces.

PCMI lecture notes: Motivic explorations in enumerative geometry A tropical calculation of the Welschinger invariants of real toric Del Pezzo surfaces

Reference 40

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Observation 0ad655f1-5f2a-4c68-b16d-5cba1faed691 · outbound

This paper cites u nter Scheja and Uwe Storch. \.

PCMI lecture notes: Motivic explorations in enumerative geometry u nter Scheja and Uwe Storch. \

Reference 41

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PCMI lecture notes: Motivic explorations in enumerative geometry Unresolved cited work

Reference 42

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Observation 7bece02b-2813-4444-84c1-17942d6ffc7d · outbound

This paper cites Invariants of real symplectic 4-manifolds and lower bounds in real enumerative geometry.

PCMI lecture notes: Motivic explorations in enumerative geometry Invariants of real symplectic 4-manifolds and lower bounds in real enumerative geometry

Reference 43

Resolution: unresolved; no resolver link, observed 2026-06-27T11:36:24.450687Z

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Observation 990f4495-da72-43a8-ada7-4f22f6495f36 · outbound

This paper cites Unstable motivic homotopy theory.

PCMI lecture notes: Motivic explorations in enumerative geometry Unstable motivic homotopy theory

Reference 44

Resolution: unresolved; no resolver link, observed 2026-06-27T11:36:24.450687Z

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