The cycle class of the supersingular locus of principally polarized abelian varieties
| Authors |
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| Publication date | 11-2025 |
| Journal | Selecta Mathematica, New Series |
| Article number | 95 |
| Volume | Issue number | 31 | 5 |
| Number of pages | 40 |
| Organisations |
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| Abstract | 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 of dimension g 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 ≤ 3. We also determine the factor for g = 4. |
| Document type | Article |
| Note | Publisher Copyright: © The Author(s) 2025. |
| Language | English |
| Published at | https://doi.org/10.1007/s00029-025-01095-w |
| Other links | https://www.scopus.com/pages/publications/105018721981 |
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The cycle class of the supersingular locus of principally polarized abelian varieties
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