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arXiv · 2410.00245

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

Aitor Iribar Lopez
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Abstract

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.

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Aitor Iribar Lopez. 2024-09-30. The Euler characteristic of $\mathcal A_g$ via Hodge integrals. https://arxiv.org/abs/2410.00245

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