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Download fileUlrich Schur Bundles on Flag Varieties
journal contribution
posted on 2017-01-19, 00:00 authored by Izzet Coskun, Laura Costa, Jack Huizenga, Rosa Maria Miró-Roig, Matthew WoolfIn 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.