The cycle class of the supersingular locus

Time：2023-10-26 Thu 15:00-16:00

Venue：YMSC-Jingzhai-304

Organizer：Mao Sheng, Nanjun Yang

Speaker：Van der Geer University of Amsterdam

Abstract

Deuring gave a classical formula for the number of supersingular elliptic curves in characteristic p. We generalize this to a formula for the cycle class of the supersingular locus in the moduli space of principally polarized abelian varieties of given dimension g. The formula determines the class up to a multiple and shows that it lies in the tautological ring. We also give the multiple for g up to 4. This is joint work with S. Harashita.

DATEOctober 26, 2023

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