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Workshop

Castelnuovo polytopes

  • Akiyoshi Tsuchiya (University of Tokyo, Meguro-ku, Japan)
Live Stream MPI für Mathematik in den Naturwissenschaften Leipzig (Live Stream)

Abstract

It is known that the sectional genus of a polarized variety has an upper bound, which is an extension of the Castelnuovo bound on the genus of a projective curve. Polarized varieties whose sectional genus achieves this bound are called Castelnuovo. On the other hand, there is a one-to-one correspondence between full-dimensional lattice polytopes and polarized toric varieties and we call a lattice polytope Castelnuovo if the associated polarized toric variety is Castelnuovo. In this talk, I give a combinatorial characterization of Castelnuovo polytopes and an application of this characterization.

Links

conference
4/6/21 4/9/21

(Polytop)ics: Recent advances on polytopes

MPI für Mathematik in den Naturwissenschaften Leipzig Live Stream

Saskia Gutzschebauch

Max Planck Institute for Mathematics in the Sciences Contact via Mail

Federico Castillo

Max Planck Institute for Mathematics in the Sciences

Giulia Codenotti

Goethe University Frankfurt

Benjamin Schröter

Royal Institute of Technology (KTH)