The cycle class of the supersingular locus of principally polarized abelian varieties
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866912490966745088 |
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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 |