On the Fujita-Zariski decomposition on threefolds

2013/05/07 by Enrica Floris, Floris, Enrica
Mathematics · #14J30 14E05 14E30 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AG #msc:14E05 #msc:14E30 #msc:14J30

paper · pdf · doi:10.48550/arxiv.1305.1441

The proof of the main theorems, namely Theorem 1.2 and 1.3, is not correct. The technical results (Theorem 3.3) remain valid and will be the object of a paper

openalex publication_date 2013/05/07 · arxiv created 2013/08/27 · arxiv updated 2013/08/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that, on a smooth threefold, pseudoeffective divisors with closed and one-dimensional diminished base locus have birationally a Fujita-Zariski decomposition.

Citations

• On log minimal models and Zariski decompositions II

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