Ulrich Schur bundles on flag varieties
Algebraic Geometry
2015-12-22 v1 Commutative Algebra
Combinatorics
Abstract
In this paper, we study equivariant vector bundles on partial flag varieties arising from Schur functors. We show that a partial flag variety with three or more steps does not admit an Ulrich bundle of this form with respect to the minimal ample class. We classify Ulrich bundles of this form on two-step flag varieties F(1,n-1;n), F(2,n-1;n), F(2,n-2;n), F(k,k+1;n) and F(k,k+2;n). We give a conjectural description of the two-step flag varieties which admit such Ulrich bundles.
Keywords
Cite
@article{arxiv.1512.06193,
title = {Ulrich Schur bundles on flag varieties},
author = {Izzet Coskun and Laura Costa and Jack Huizenga and Rosa Maria Miró-Roig and Matthew Woolf},
journal= {arXiv preprint arXiv:1512.06193},
year = {2015}
}
Comments
36 pages, 11 figures. Merges and replaces arXiv:1507.00102 and arXiv:1506.03586