2003/05/30 by Howard M Thompson, Thompson, Howard M · 1 citation
Computer Science · Mathematics · #14M25 (primary) #20M25 (secondary) #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #math.AC #math.AG #msc:14M25 #msc:20M25
paper · pdf · doi:10.48550/arxiv.math/0305441
new longer introduction, other minor improvements, 35 pages
openalex publication_date 2003/05/30 · arxiv created 2005/03/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In [Kat94b], Kato defined his notion of a log regular scheme and studied the local behavior of such schemes. A toric variety equipped with its canonical logarithmic structure is log regular. And, these schemes allow one to generalize toric geometry to a theory that does not require a base field. This paper will extend this theory by removing normality requirements.