math/0212044Dec 3, 2002Corrected the discussion in the published version about the moment map, and changed the title from "Toric ideals, real toric varieties, and the moment map". This should be the definitive version

Toric ideals, real toric varieties, and the algebraic moment map

Frank Sottile

Algebraic Geometry Computational Geometry

arXiv PDF

Abstract

This is a tutorial on some aspects of toric varieties related to their potential use in geometric modeling. We discuss projective toric varieties and their ideals, as well as real toric varieties and the algebraic moment map. In particular, we explain the relation between linear precision and the algebraic moment map. This builds on the introduction to toric varieties by David Cox: What is a Toric Variety? at http://www.cs.amherst.edu/~dac/lectures/tutorial.ps

Briefing

What this paper is actually doing

Sign in and connect a model key to generate a briefing for this paper.

Socratic margin

Ask the abstract

Questions are grounded in the title and abstract. If the PDF is required, arXivDesk will say so.

Sign in to ask questions about this paper.