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Auteurs principaux:	van der Geer, Gerard, Harashita, Shushi
Format:	Preprint
Publié:	2023
Sujets:	Algebraic Geometry
Accès en ligne:	https://arxiv.org/abs/2307.14393
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author	van der Geer, Gerard Harashita, Shushi
author_facet	van der Geer, Gerard Harashita, Shushi
contents	We prove a formula for the cycle class of the supersingular locus in the Chow ring with rational coefficients of the moduli space of principally polarized abelian varieties in characteristic $p$. This formula determines this class as a monomial in the Chern classes of the Hodge bundle up to a factor that is a polynomial in $p$. This factor is known for $g\leq 3$. We determine the factor for $g=4$.
format	Preprint
id	arxiv_https___arxiv_org_abs_2307_14393
institution	arXiv
publishDate	2023
record_format	arxiv
spellingShingle	The cycle class of the supersingular locus of principally polarized abelian varieties van der Geer, Gerard Harashita, Shushi Algebraic Geometry We prove a formula for the cycle class of the supersingular locus in the Chow ring with rational coefficients of the moduli space of principally polarized abelian varieties in characteristic $p$. This formula determines this class as a monomial in the Chern classes of the Hodge bundle up to a factor that is a polynomial in $p$. This factor is known for $g\leq 3$. We determine the factor for $g=4$.
title	The cycle class of the supersingular locus of principally polarized abelian varieties
topic	Algebraic Geometry
url	https://arxiv.org/abs/2307.14393

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