A signed count of 2-torsion points on real abelian varieties

Mario Kummer (TU Dresden)

22-Apr-2022, 14:00-15:00 (23 months ago)

Abstract: While the number of 2-torsion points on an abelian variety of dimension g over the complex numbers is always equal to 4^g, the number of real 2-torsion points varies between 2^g and 4^g. I will assign a sign ±1 to each real 2-torsion point on a real principally polarized abelian variety such that the sum over all signs is always 2^g. I will give an interpretation of this count in the case when the abelian variety is the Jacobian of a curve and I will speculate about generalizations to arbitrary ground fields.

algebraic geometrycombinatorics

Audience: researchers in the topic


(LAGARTOS) Latin American Real and Tropical Geometry Seminar

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Organizers: Alicia Dickenstein*, Ethan Cotterill*, Cristhian Garay López*
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