TY - JOUR
T1 - Ulrich Schur bundles on flag varieties
AU - Coskun, Izzet
AU - Costa, Laura
AU - Huizenga, Jack
AU - Miró-Roig, Rosa Maria
AU - Woolf, Matthew
N1 - Publisher Copyright:
© 2016 Elsevier Inc.
PY - 2017/3/15
Y1 - 2017/3/15
N2 - 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.
AB - 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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U2 - 10.1016/j.jalgebra.2016.11.008
DO - 10.1016/j.jalgebra.2016.11.008
M3 - Article
AN - SCOPUS:84998886204
SN - 0021-8693
VL - 474
SP - 49
EP - 96
JO - Journal of Algebra
JF - Journal of Algebra
ER -