On k-normality and Regularity of Normal Toric Varieties

2017/08/14 by Bach Le Tran, Tran, Bach Le
Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Combinatorics (math.CO) #Commutative Algebra and Its Applications #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1708.04340

openalex publication_date 2017/08/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a bound of k for a very ample lattice polytope to be k-normal. Equivalently, we give a new combinatorial bound for the Castelnuovo-Mumford regularity of normal projective toric varieties.

Related

• An Eisenbud-Goto-type Upper Bound for the Castelnuovo-Mumford Regularity of Fake Weighted Projective Spaces
• Syzygies, regularity and toric varieties
• A Simple Combinatorial Criterion for Projective Toric Manifolds with Dual Defect
• Classifying smooth lattice polytopes via toric fibrations
• On the k-normality of some projective manifolds