A remark on the decomposition theorem for direct images of canonical sheaves tensorized with semipositive vector bundles

2015/12/12 by Taro Fujisawa, Fujisawa, Taro
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #Primary 14F05 #Secondary 32J25 #math.AG #msc:14F05 #msc:32J25

paper · pdf · doi:10.48550/arxiv.1512.03887

3 pages

arxiv created 2015/12/12 · openalex publication_date 2015/12/12 · arxiv updated 2015/12/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The purpose of this short note is to give a remark on the decomposition theorem for direct images of canonical sheaves tensorized with Nakano semipositive vector bundles. Although our result is a direct consequence of Takegoshi's work, it was not stated explicitly in his article. Here we give the precise statement and the proof.

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