Equivariant Ulrich bundles on flag varieties
Algebraic Geometry
2015-12-23 v2 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(2,n;n+1), F(2,n;n+2), 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. Our results provide counterexamples to conjectures by Costa and Miro-Roig.
Keywords
Cite
@article{arxiv.1507.00102,
title = {Equivariant Ulrich bundles on flag varieties},
author = {Izzet Coskun and Jack Huizenga and Matthew Woolf},
journal= {arXiv preprint arXiv:1507.00102},
year = {2015}
}
Comments
Submission withdrawn as it is subsumed into submission arXiv:1512.06193 with additional authors