Pulling subdivisions of cones and blowups of monomial ideals on affine toric varieties

2016/12/29 by Howard M Thompson, Thompson, Howard M
Computer Science · Mathematics · #Affine transformation #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Mathematics #Monomial #Polynomial and algebraic computation #Primary: 14M25 #Pure mathematics #Secondary: 52B20 #math.AG #msc:14M25 #msc:52B20

paper · pdf · doi:10.48550/arxiv.1612.09206

published in arXiv (Cornell University) (Cornell University) · 4 pages

arxiv created 2016/12/29 · openalex publication_date 2016/12/29 · arxiv updated 2016/12/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This short note solves the following problem: Given a map of normal toric varieties corresponding to a coherent subdivision of a cone, find an ideal such that the given map is the blowup of that ideal.

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