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

Fuente: arXiv
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Main Author: Gubarevich, Danil
Format: Preprint
Published: 2021
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author Gubarevich, Danil
author_facet Gubarevich, Danil
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2112_10182
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle On the Picard Group of the Moduli Space of Curves via $r$-Spin Structures
Gubarevich, Danil
Algebraic Geometry
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.
title On the Picard Group of the Moduli Space of Curves via $r$-Spin Structures
topic Algebraic Geometry
url https://arxiv.org/abs/2112.10182