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Research Bernoulli Institute Calendar

Algebra Seminar - V. Karemaker University of Utrecht

When:We 09-12-2020 13:00 - 14:00
Where:Online (see below)

Title: Mass formulae for supersingular abelian threefolds.


Using the theory of polarised flag type quotients, we determine mass formulae for all principally polarised supersingular abelian threefolds defined over an algebraically closed field k of characteristic p. We combine these results with computations of the automorphism groups to study Oort's conjecture; we prove that every generic principally polarised supersingular abelian threefold over k of characteristic >2 has automorphism group Z/2Z.

This is joint work with F. Yobuko and C.-F. Yu.