Splitting criteria for vector bundles on minuscule homogeneous varieties
Algebraic Geometry
2015-03-05 v1
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.
Keywords
Cite
@article{arxiv.1503.01387,
title = {Splitting criteria for vector bundles on minuscule homogeneous varieties},
author = {Mihai Halic},
journal= {arXiv preprint arXiv:1503.01387},
year = {2015}
}