Mass formula for supersingular abelian threefolds

Abstract: 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 \( \mathbb{Z}/2\mathbb{Z} \).

algebraic geometry

Audience: researchers in the topic

Western Algebraic Geometry ONline

Series comments: Description: Conference in algebraic geometry

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