Algebra Seminar 

30/09/2009, 15:00 — 16:00 — Room P4.35, Mathematics Building
Paulo Lima-Filho, Texas A&M University

Arithmetic Toric Varieties

Given an arbitrary field $k$ and a fan $F$, we study the classification of the various "toric $k$-forms" of the toric variety $X_{K,F}$, where $K$ is the algebraic closure of $K$ and $F$. This classification generalizes the work of Delaunay on "real toric varieties" and has a particularly simple description in the case of complete non-singular toric surfaces. We show how to use the Cox construction to perform explicit calculations and make a few applications. This is joint work with Javier Elizondo, Frank Sottile and Zach Teitler.