On the classification of rank 2 almost Fano bundles on projective space

2010/04/15 by Kazunori Yasutake, Yasutake, Kazunori · 1 citation
Mathematics · Physics and Astronomy · #14J45 #14J60. #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Nonlinear Waves and Solitons #Primary 14J40 #Secondary 14J10 #math.AG #msc:14J10 #msc:14J40 #msc:14J45 #msc:14J60.

paper · pdf · doi:10.48550/arxiv.1004.2544

11 pages

openalex publication_date 2010/04/15 · arxiv created 2010/04/20 · arxiv updated 2010/04/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

An almost Fano bundle is a vector bundle on a smooth projective variety that its projectivization is an almost Fano variety. In this paper, we prove that almost Fano bundles exist only on almost Fano manifolds and study rank 2 almost Fano bundles over projective spaces.

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• Rank two Weak Fano bundles on Fano threefolds of Picard rank one

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