The Euler characteristic of \mathcal A_g via Hodge integrals

2024/09/30 by Aitor Iribar Lopez, Lopez, Aitor Iribar
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Analytic Number Theory Research

paper · pdf · doi:10.48550/arxiv.2410.00245

Abstract

We prove the Harder-Siegel formula for the Euler characteristic of A_g via the intersection theory of M_g and a vanishing result for lambda classes on the boundary of the toroidal compactifications of A_g, recently proven by Canning, Molcho, Oprea and Pandharipande.

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