Paper Citation Record · LEDGER

Irreducible components of moduli spaces of maps to smooth projective toric varieties in genus 0

As of 19 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2506.16221.

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pith.paper-citation-record.v1
2506.16221 v1

Coverage vector

measured 40 of 40 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-15T19:50:21.503682Z

measured 40 of 40 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

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Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Reference resolution

40 of 40 outbound references displayed

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Outbound references

Observation 8fecbe8e-97f9-4d73-a4d5-28cbba230963 · outbound

This paper cites A geographical study of \( M _2 ( P ^2, 4 )^ main \).

Irreducible components of moduli spaces of maps to smooth projective toric varieties in genus 0 A geographical study of \( M _2 ( P ^2, 4 )^ main \)

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:50:22.135674Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6ef7c58d-a6e7-4ecd-9b84-68aa8e4de2cb · outbound

This paper cites A smooth compactification of the space of genus two curves in projective space: via logarithmic geometry and Gorenstein curves.

Irreducible components of moduli spaces of maps to smooth projective toric varieties in genus 0 A smooth compactification of the space of genus two curves in projective space: via logarithmic geometry and Gorenstein curves

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-15T19:50:21.310717Z

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Observation 7343afe3-64a8-44c6-9bb9-ea20e5721058 · outbound

This paper cites Virtual classes for the working mathematician.

Irreducible components of moduli spaces of maps to smooth projective toric varieties in genus 0 Virtual classes for the working mathematician

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:50:22.101332Z

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Observation 67c30341-85e6-4105-ac27-0409728d9c6f · outbound

This paper cites Higher genus quasimap wall-crossing for semipositive targets.

Irreducible components of moduli spaces of maps to smooth projective toric varieties in genus 0 Higher genus quasimap wall-crossing for semipositive targets

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:50:22.083906Z

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Observation 4630ddf3-ee6a-4665-aeec-2533e7dfa1f5 · outbound

This paper cites Quasimap wall-crossings and mirror symmetry.

Irreducible components of moduli spaces of maps to smooth projective toric varieties in genus 0 Quasimap wall-crossings and mirror symmetry

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:50:22.066376Z

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Observation 1de67aad-002a-41de-81a4-b9829d6c4e84 · outbound

This paper cites Higher-genus wall-crossing in the gauged linear sigma model.

Irreducible components of moduli spaces of maps to smooth projective toric varieties in genus 0 Higher-genus wall-crossing in the gauged linear sigma model

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-15T19:50:21.331035Z

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Observation 77ecd789-0a34-47a4-93ac-79c524f6501c · outbound

This paper cites Gromov-Witten invariants of stable maps with fields.

Irreducible components of moduli spaces of maps to smooth projective toric varieties in genus 0 Gromov-Witten invariants of stable maps with fields

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-15T19:50:21.336899Z

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Observation 65128e48-f21b-4721-a34b-37fcecf3a104 · outbound

This paper cites Cox, John B.

Irreducible components of moduli spaces of maps to smooth projective toric varieties in genus 0 Cox, John B

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-15T19:50:21.341489Z

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Observation 4a3001b1-2d72-4618-ae51-2c5c83b00e1a · outbound

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Irreducible components of moduli spaces of maps to smooth projective toric varieties in genus 0 Unresolved cited work

Reference 9

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Observation bfaeed50-d714-4716-a345-86bf3e2f1dce · outbound

This paper cites The contraction morphism between maps and quasimaps to toric varieties.

Irreducible components of moduli spaces of maps to smooth projective toric varieties in genus 0 The contraction morphism between maps and quasimaps to toric varieties

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-15T19:50:21.641219Z

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Observation f8c20132-b50b-4502-9f2b-65f1a4b57e5b · outbound

This paper cites Higher genus reduced Gromov--Witten invariants via desingularizations of sheaves.

Irreducible components of moduli spaces of maps to smooth projective toric varieties in genus 0 Higher genus reduced Gromov--Witten invariants via desingularizations of sheaves

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-15T19:50:21.355829Z

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Observation 7bdd2c2a-59b1-4a69-8c4e-95a5b55e9dab · outbound

This paper cites Limit linear series: Basic theory.

Irreducible components of moduli spaces of maps to smooth projective toric varieties in genus 0 Limit linear series: Basic theory

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:50:21.995481Z

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Observation 4c554600-cc53-4668-a4cd-d7b0e6b93eb8 · outbound

This paper cites Commutative algebra.

Irreducible components of moduli spaces of maps to smooth projective toric varieties in genus 0 Commutative algebra

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:50:21.977391Z

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Observation 78c9ab6c-c70f-4286-93d9-b548d6bc18ca · outbound

This paper cites Intersection theory , volume 2.

Irreducible components of moduli spaces of maps to smooth projective toric varieties in genus 0 Intersection theory , volume 2

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-15T19:50:21.369730Z

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Observation 8224eb48-e212-48b5-8a23-69209bc26b09 · outbound

This paper cites Algebraic geometry.

Irreducible components of moduli spaces of maps to smooth projective toric varieties in genus 0 Algebraic geometry

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-15T19:50:21.374202Z

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Observation 01fdab82-7c57-452d-bbe9-adeb3305d376 · outbound

This paper cites Genus-one stable maps, local equations, and V akil- Z inger's desingularization.

Irreducible components of moduli spaces of maps to smooth projective toric varieties in genus 0 Genus-one stable maps, local equations, and V akil- Z inger's desingularization

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-15T19:50:21.379038Z

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Observation f3b5585e-4b75-45af-b2e3-ab63ca0efbc4 · outbound

This paper cites Derived resolution property for stacks, Euler classes and applications.

Irreducible components of moduli spaces of maps to smooth projective toric varieties in genus 0 Derived resolution property for stacks, Euler classes and applications

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-15T19:50:21.383476Z

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Observation 7f585fcf-b1d0-4380-a450-cab2f5a6ae47 · outbound

This paper cites Genus Two Stable Maps, Local Equations and Modular Resolutions.

Irreducible components of moduli spaces of maps to smooth projective toric varieties in genus 0 Genus Two Stable Maps, Local Equations and Modular Resolutions

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-15T19:50:21.388218Z

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Observation d0677f81-acb8-401f-a49a-3e1752db8586 · outbound

This paper cites Moduli of Curves of Genus One with Twisted Fields.

Irreducible components of moduli spaces of maps to smooth projective toric varieties in genus 0 Moduli of Curves of Genus One with Twisted Fields

Reference 19

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Observation 740674bc-7189-44af-8ea8-8d28256fef96 · outbound

This paper cites A theory of stacks with twisted fields and resolution of moduli of genus two stable maps.

Irreducible components of moduli spaces of maps to smooth projective toric varieties in genus 0 A theory of stacks with twisted fields and resolution of moduli of genus two stable maps

Reference 20

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Observation a7aabe1b-bcad-4d1c-b35d-46b4d473d84a · outbound

This paper cites Derived moduli of sections and push-forwards.

Irreducible components of moduli spaces of maps to smooth projective toric varieties in genus 0 Derived moduli of sections and push-forwards

Reference 21

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Observation e5eec6b2-32c9-4106-8d50-f7443ba7a8fc · outbound

This paper cites Quantum lefschetz property for genus two stable quasimap invariants, 2022.

Irreducible components of moduli spaces of maps to smooth projective toric varieties in genus 0 Quantum lefschetz property for genus two stable quasimap invariants, 2022

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:50:21.895560Z

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Observation 910d1538-fd36-4340-86d1-51b248cb471b · outbound

This paper cites Algebraic reduced genus one gromov-witten invariants for complete intersections in projective spaces, 2019.

Irreducible components of moduli spaces of maps to smooth projective toric varieties in genus 0 Algebraic reduced genus one gromov-witten invariants for complete intersections in projective spaces, 2019

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:50:21.880040Z

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Observation b17e9dfe-587d-4721-8ec0-a3ce26b8687e · outbound

This paper cites Algebraic reduced genus one gromov-witten invariants for complete intersections in projective spaces, part 2, 2020.

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:50:21.864096Z

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Observation c986b0bd-dab3-48cc-998d-c53ccf964bdb · outbound

This paper cites Gromov-- W itten invariants of a quintic threefold and a rigidity conjecture.

Irreducible components of moduli spaces of maps to smooth projective toric varieties in genus 0 Gromov-- W itten invariants of a quintic threefold and a rigidity conjecture

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:50:21.846861Z

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Observation 547a4951-7e60-49c9-bd18-b7c2997e04ff · outbound

This paper cites Virtual push-forwards.

Irreducible components of moduli spaces of maps to smooth projective toric varieties in genus 0 Virtual push-forwards

Reference 26

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Observation aa070d65-751c-4df2-b17c-aff5b9e765bf · outbound

This paper cites Stable maps and stable quotients.

Irreducible components of moduli spaces of maps to smooth projective toric varieties in genus 0 Stable maps and stable quotients

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:50:21.814675Z

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Observation 7e2edd39-35f7-4f20-a731-145047c290fe · outbound

This paper cites The moduli space of stable quotients.

Irreducible components of moduli spaces of maps to smooth projective toric varieties in genus 0 The moduli space of stable quotients

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:50:21.799229Z

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Observation c297f32a-b61e-4cc4-b746-1285da035d25 · outbound

This paper cites A limit linear series moduli scheme.

Irreducible components of moduli spaces of maps to smooth projective toric varieties in genus 0 A limit linear series moduli scheme

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:50:21.783431Z

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Observation 16b25146-86f5-4581-b7b0-7b592352250a · outbound

This paper cites Moduli of stable maps in genus one and logarithmic geometry, i.

Irreducible components of moduli spaces of maps to smooth projective toric varieties in genus 0 Moduli of stable maps in genus one and logarithmic geometry, i

Reference 30

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Observation f26b044d-6577-4cda-8c84-5459a1554d8e · outbound

This paper cites The Kodaira dimension of spaces of rational curves on low degree hypersurfaces.

Irreducible components of moduli spaces of maps to smooth projective toric varieties in genus 0 The Kodaira dimension of spaces of rational curves on low degree hypersurfaces

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-15T19:50:21.455714Z

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Observation e4a4fa91-04c2-45a0-84da-0db29f1371f5 · outbound

This paper cites The stacks project.

Irreducible components of moduli spaces of maps to smooth projective toric varieties in genus 0 The stacks project

Reference 32

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Observation 778ba49b-e78b-43ed-b2ad-6efacf34b831 · outbound

This paper cites Limit linear series for vector bundles.

Irreducible components of moduli spaces of maps to smooth projective toric varieties in genus 0 Limit linear series for vector bundles

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:50:21.748850Z

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Observation fc2e9260-c743-4361-a520-20c389216211 · outbound

This paper cites Alternate compactifications of the moduli space of genus one maps.

Irreducible components of moduli spaces of maps to smooth projective toric varieties in genus 0 Alternate compactifications of the moduli space of genus one maps

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:50:21.733299Z

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Observation ccde5004-171f-45b3-999e-b8ac8e3edf65 · outbound

This paper cites A natural smooth compactification of the space of elliptic curves in projective space.

Irreducible components of moduli spaces of maps to smooth projective toric varieties in genus 0 A natural smooth compactification of the space of elliptic curves in projective space

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:50:21.716878Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ea35b4b3-09be-4f74-858a-ad7ec905a56f · outbound

This paper cites A desingularization of the main component of the moduli space of genus-one stable maps into P^n.

Irreducible components of moduli spaces of maps to smooth projective toric varieties in genus 0 A desingularization of the main component of the moduli space of genus-one stable maps into P^n

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-15T19:50:21.481163Z

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Observation ef9e7273-5756-480c-ac4a-2ba12469209e · outbound

This paper cites Quasimap wall-crossing for GIT quotients.

Irreducible components of moduli spaces of maps to smooth projective toric varieties in genus 0 Quasimap wall-crossing for GIT quotients

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:50:21.689587Z

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Observation 7bf1a3e9-3480-497e-818f-4d326846622a · outbound

This paper cites Standard versus reduced genus-one G romov– W itten invariants.

Irreducible components of moduli spaces of maps to smooth projective toric varieties in genus 0 Standard versus reduced genus-one G romov– W itten invariants

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-15T19:50:21.491899Z

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Observation b1d3d6e5-e58d-48eb-9ad6-507e8bd8d4d8 · outbound

This paper cites The reduced genus 1 G romov- W itten invariants of C alabi- Y au hypersurfaces.

Irreducible components of moduli spaces of maps to smooth projective toric varieties in genus 0 The reduced genus 1 G romov- W itten invariants of C alabi- Y au hypersurfaces

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-15T19:50:21.497878Z

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Observation 8ee957c9-f0e7-4370-8174-a823b14235c9 · outbound

This paper cites A sharp compactness theorem for genus-one pseudo-holomorphic maps.

Irreducible components of moduli spaces of maps to smooth projective toric varieties in genus 0 A sharp compactness theorem for genus-one pseudo-holomorphic maps

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-15T19:50:21.503682Z

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