10027/21486
Izzet Coskun
Izzet
Coskun
Laura Costa
Laura
Costa
Jack Huizenga
Jack
Huizenga
Rosa Maria Miró-Roig
Rosa Maria
Miró-Roig
Matthew Woolf
Matthew
Woolf
Ulrich Schur Bundles on Flag Varieties
University of Illinois at Chicago
2017
Flag varieties
Schur bundles
Ulrich bundles
2017-01-19 00:00:00
Journal contribution
https://indigo.uic.edu/articles/journal_contribution/Ulrich_Schur_Bundles_on_Flag_Varieties/10771679
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.