Monads and Vector Bundles on Quadrics

2006/12/18 by Francesco Malaspina, Malaspina, F. · 1 citation
Computer Science · #14F05 #14J60 #Algebraic Geometry (math.AG) #Cellular Automata and Applications #FOS: Mathematics #Matrix Theory and Algorithms #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.math/0612512

openalex publication_date 2006/12/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We improve Ottaviani's splitting criterion for vector bundles on a quadric hypersurface and obtain the equivalent of the result by Rao, Mohan Kumar and Peterson. Then we give the classification of rank 2 bundles without "inner" cohomology on Q_n (n>3). It surprisingly exactly agrees with the classification by Ancona, Peternell and Wisniewski of rank 2 Fano bundles.

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