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2. Algebraic, Complex and Differential Geometry and Topology

Positivity of theta divisors on some abelian threefolds

Mihai Fulger
University of Connecticut, Storrs, USA

Abstract:

Guided by the problem of computing Seshadri constants and infinitesimal Newton-Okounkov bodies of theta divisors on abelian varieties, we focus on the first open case, the case of threefolds. We carry out the case of products of curves, and the case of Jacobians of quartic curves with 56 distinct bitangency points. This is in joint work with Victor Lozovanu.