Self-dual projective toric varieties

TL;DR

This paper characterizes when a projective toric subvariety is self-dual based on the weight configuration of the associated T-module, providing a criterion in the context of algebraic geometry.

Contribution

It offers a new criterion to determine self-duality of projective toric varieties using weight configurations of T-modules.

Findings

Provides necessary and sufficient conditions for self-duality.

Connects self-duality to weight configurations of T-modules.

Advances understanding of duality in toric varieties.

Abstract

Let T be a torus over an algebraically closed field k of characteristic 0, and consider a projective T-module P(V). We determine when a projective toric subvariety X of P(V) is self-dual, in terms of the configuration of weights of V.