On the Picard Group of the Moduli Space of Curves via $r$-Spin Structures

In this paper, we obtain explicit expressions for Pandharipande-Pixton-Zvonkine relations in the second rational cohomology of $\overline{\mathcal{M}}_{g,n}$ and comparing the result with Arbarello-Cornalba's theorem we prove Pixton's conjecture in this case.

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Publication Details

Journal
Symmetry Integrability and Geometry Methods and Applications
Published
2024-10-06
DOI
https://doi.org/10.3842/sigma.2024.088
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
0.00
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On the Picard Group of the Moduli Space of Curves via $r$-Spin Structures

Danil Gubarevich
Symmetry Integrability and Geometry Methods and Applications
Algebraic Geometry and Number Theory
article

On the Picard Group of the Moduli Space of Curves via $r$-Spin Structures

Danil Gubarevich
article en

Abstract

In this paper, we obtain explicit expressions for Pandharipande-Pixton-Zvonkine relations in the second rational cohomology of $\overline{\mathcal{M}}_{g,n}$ and comparing the result with Arbarello-Cornalba's theorem we prove Pixton's conjecture in this case.

Symmetry Integrability and Geometry Methods and Applications
Laboratoire de Mathématiques Blaise Pascal (FR), Laboratoire de Mathématiques de Versailles (FR)
Openalex Percentile: Top 73%
Algebraic Geometry and Number Theory
DOIOpen Access PDFOpenAlex
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On the Picard Group of the Moduli Space of Curves via $r$-Spin Structures — Danil Gubarevich · Symmetry Integrability and Geometry Methods and Applications (2024) | TGRS Research Map | TGRS