The Euler characteristic of $\mathcal A_g$ via Hodge integrals

Fuente: arXiv
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Main Author: Lopez, Aitor Iribar
Format: Preprint
Published: 2024
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author Lopez, Aitor Iribar
author_facet Lopez, Aitor Iribar
contents We prove the Harder-Siegel formula for the Euler characteristic of $\mathcal{A}_g$ via the intersection theory of $\overline{\mathcal{M}}_g$ and a vanishing result for lambda classes on the boundary of the toroidal compactifications of $\mathcal{A}_g$, recently proven by Canning, Molcho, Oprea and Pandharipande.
format Preprint
id arxiv_https___arxiv_org_abs_2410_00245
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The Euler characteristic of $\mathcal A_g$ via Hodge integrals
Lopez, Aitor Iribar
Algebraic Geometry
14C17 (primary) 14K10, 14N35 (secondary)
We prove the Harder-Siegel formula for the Euler characteristic of $\mathcal{A}_g$ via the intersection theory of $\overline{\mathcal{M}}_g$ and a vanishing result for lambda classes on the boundary of the toroidal compactifications of $\mathcal{A}_g$, recently proven by Canning, Molcho, Oprea and Pandharipande.
title The Euler characteristic of $\mathcal A_g$ via Hodge integrals
topic Algebraic Geometry
14C17 (primary) 14K10, 14N35 (secondary)
url https://arxiv.org/abs/2410.00245