Some adjunction properties of ample vector bundles

1999/02/19 by Hironobu Ishihara, Ishihara, Hironobu
Mathematics · Medicine · Physics and Astronomy · #14J60 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Magnolia and Illicium research #Nonlinear Waves and Solitons #math.AG #msc:14J60

paper · pdf · doi:10.48550/arxiv.math/9902113

7 pages, AMS-TeX

arxiv created 1999/02/19 · openalex publication_date 1999/02/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let E be an ample vector bundle of rank r on a projective variety X with only log-terminal singularities. We consider the nefness of adjoint divisors K_X+(t-r)det(E) when t>=dim(X) and t>r. As a corollary, we classify pairs (X,E) with c_r-sectional genus zero.

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