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The cycle class of the supersingular locus

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Gerard van der Geer
University of Amsterdam
Fri, 08/03/2024 - 14:00 - 15:00
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

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.

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