Rank two aCM bundles on general determinantal quartic surfaces in ℙ³

2016/01/12 by Gianfranco Casnati, Casnati, Gianfranco
Mathematics · #14J45 (Secondary) #14J60 (Primary) #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1601.02911

openalex publication_date 2016/01/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Let F⊆ℙ³ be a smooth determinantal quartic surface which is general in the Nöther-Lefschetz sense. In the present paper we give a complete classification of locally free sheaves E of rank 2 on F such that h¹(F,E(th))=0 for t∈ℤ.

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