Nef dimension of minimal models

2003/01/26 by Florin Ambro, Ambro, Florin
Computer Science · Mathematics · #14E30 #14J10 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Polynomial and algebraic computation #math.AG #msc:14E30 #msc:14J10

paper · pdf · doi:10.48550/arxiv.math/0301305

LaTex, 14 pages

arxiv created 2003/01/26 · openalex publication_date 2003/01/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We reduce the Abundance Conjecture in dimension 4 to the following numerical statement: if the canonical divisor K is nef and has maximal nef dimension, then K is big. From this point of view, we ``classify'' in dimension 2 nef divisors which have maximal nef dimension, but which are not big.

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