Friday, January 15th at 10:30, Alex Massarenti (University of Ferrara).

Title: On secant defectiveness of toric varieties.
Abstract:  Let N be a free abelian group, M = Hom(N,Z) its dual, M_Q := M ⊗ Q the corresponding rational vector space, P ⊆ M_Q a full dimensional lattice polytope, and (X_P , H) the corresponding polarized toric variety. We study the secant defectiveness of X_P in the embedding induced by H. In particular, we give a bound, depending only on the maximum number of integer points on a facet of P, for the non secant defectiveness of X_P. Furthermore, as an application, we get an almost asymptotically sharp bound for the non secant defectiveness of Segre-Veronese varieties.

The seminar will take place online. Click here for the Zoom link.