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Ulrich Schur Bundles on Flag Varieties

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posted on 2017-01-19, 00:00 authored by Izzet Coskun, Laura Costa, Jack Huizenga, Rosa Maria Miró-Roig, Matthew Woolf
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.


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Copyright © 2017 Academic Press Inc. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited


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