Mass formula for supersingular abelian threefolds
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题目: Mass formula for supersingular abelian threefolds
报告人: 余家富 教授 (中央研究院数学研究所)
摘要: The mass formula for principally polarized superspecial abelian varieties was studied and computed by Ekedahl, Ibukiyama, Katsura and Oort around 1986. In 2009, Jeng-Daw Yu and myself defined the mass for the set of principally polarized supersingular abelian varieties with a fixed isomorphism class of polarized p-divisible groups, and gave an explicit mass formula for the case g=2. In this talk we will report mass formulas for the case where g=3. As an application we extend recent work of Ibukuyama for g=2 and prove Oort's conjecture for the automorphism group of generic supersingular abelian 3-fold.
This is joint work with Valentijn Karemaker and Fuetaro Yobuko.
with Masao Oi.