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Quelques remarques sur la notion de modification affine

2005/03/08 by Adrien Dubouloz, Dubouloz, Adrien · 1 citation
Computer Science · Mathematics · #14E05 #14Rxx #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Polynomial and algebraic computation #math.AG #msc:14E05 #msc:14Rxx

paper · pdf · doi:10.48550/arxiv.math/0503142

in french

arxiv created 2005/03/08 · openalex publication_date 2005/03/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct a global counterpart to the notion of affine modification due to Kaliman and Zaidenberg. This leads to a simple explicit description of the structure of birational affine morphisms between arbitrary quasi-projective varieties.

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