Mumford divisors

2018/03/20 by János Kollár, Kollár, János
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1803.07596

openalex publication_date 2018/03/20 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

We define the notion of Mumford divisors, argue that they are the natural divisors to study on reduced but non-normal varieties and prove a structure theorem for the Mumford class group. v.2: references added

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• Mumford's influence on the moduli theory of algebraic varieties
• Remark on a theorem in Mumford's Red Book of Varieties and Schemes
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