Geometric invariant theory and projective toric varieties

2005/02/17 by Nicholas Proudfoot, Nicholas J. Proudfoot, Proudfoot, Nicholas J.
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry and Number Theory #Polynomial and algebraic computation #math.AG #msc:14L24 #msc:14M25

paper · pdf · doi:10.48550/arxiv.math/0502366

9 pages, 1 figure; to appear in the proceedings of the 2004 Summer Research Conference on Algebraic Geometry at Snowbird

arxiv created 2005/02/27 · arxiv updated 2009/12/01

Abstract

This is an expository paper in which we define projective GIT quotients and introduce toric varieties from this perspective. It is intended primarily for readers who are learning either invariant theory or toric geometry for the first time.

Related

• Introduction to Toric Geometry
• Diophantine geometry and toric varieties
• The birational geometry of GIT quotients
• The CompGIT package: a computational tool for Geometric Invariant Theory quotients
• Toric Richardson Varieties