Some remarks on rigid sheaves, helices and exceptional vector bundles on Fano varieties over arbitrary fields

2016/08/10 by Saša Novaković, Novaković, Saša
Mathematics · #14F05 #14J45 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1608.03085

openalex publication_date 2016/08/10 · openalex created_date 2016/08/23 · openalex updated_date 2026/07/28

Abstract

In this paper we study the connection between rigid sheaves and separable-exceptional objects on Fano varieties over arbitrary fields. We give criteria for a rigid vector bundle on a Fano variety to be the direct sum of separable-exceptional bundles and for a separable-exceptional vector bundle to be part of a full separable-exceptional collection.

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