vix.ing · top · new · best · stats · spec

An effective uniform Artin-Rees lemma

2013/06/25 by Johannes Lundqvist, Lundqvist, Johannes
Computer Science · Mathematics · #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #Complex Variables (math.CV) #FOS: Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1306.5956

openalex publication_date 2013/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove a global uniform Artin-Rees lemma type theorem for sections of ample line bundles over smooth projective varieties. This result is used to prove an Artin-Rees lemma for the polynomial ring with uniform degree bounds. The proof is based on multidimensional residue calculus.

Related