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Seminormal log centers and deformations of pairs

2011/03/02 by Janós Kollár, János Kollár, Kollár, János
Mathematics · #14C20 #14E30 #14J15 #14J17 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Holomorphic and Operator Theory #Point processes and geometric inequalities #math.AG #msc:14C20 #msc:14E30 #msc:14J15 #msc:14J17

paper · pdf · doi:10.48550/arxiv.1103.0528

openalex publication_date 2011/03/02 · arxiv created 2011/05/19 · arxiv updated 2011/05/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that some properties of log canonical centers of a log canonical pair (X,D) also hold for certain subvarieties that are close to being a log canonical center. As a consequence, we obtain that if one works with deformations of pairs (X, D) where all the coefficients of D are bigger than 1/2, then one need not worry about embedded points on D. May 20: Results strengthened using recent work of Birkar and Hacon and Xu.

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