Mass formula for supersingular Abelian varieties

Date
2015/05/22 Fri 15:00 - 16:00
Room
3号館152号室
Speaker
Yobuko, Fetarou
Affiliation
Tohoku University
Abstract

The number of Isomorphism classes of supersingular elliptic curves over an algebraically closed field of positive characteristic p is finite and such a number, counted with the weight of the order of the automorphism group, can be expressed by a simple polynomial of p. It is called the Deuring Mass formula. A few formulations of the Mass formula are known regarding Abelian varieties of arbitrary dimension. In this talk we explain the formulation due to D. Yu and C.F. Yu in the dimension 3 case and discuss our result on its concrete computation. We also discuss the relation between the Mass and the moduli space of supersingular Abelian varieties.