2005/03/30 by Takuro Abe, Masahiko Yoshinaga, Abe, Takuro +1
Mathematics · #13Dxx #14F05 #14J60 #32S22 #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.AG #math.CO #msc:13Dxx #msc:14F05 #msc:14J60 #msc:32S22
paper · pdf · doi:10.48550/arxiv.math/0503710
13 pages
arxiv created 2005/03/30 · arxiv updated 2009/12/01
The purpose of this paper is to study the structure of reflexive sheaves over projective spaces through hyperplane sections. We give a criterion for a reflexive sheaf to split into a direct sum of line bundles. An application to the theory of free hyperplane arrangements is also given.