Splitting criteria for vector bundles on minuscule homogeneous varieties

2015/03/04 by Halic, Mihai
#14J60 #14M15 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1503.01387

Abstract

I prove that a vector bundle on a minuscule homogeneous variety splits into a direct sum of line bundles if and only if its restriction to the union of two-dimensional Schubert subvarieties splits. A case-by-case analysis is done.

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