2015/12/19 by Izzet Coskun, Laura Costa, Coskun, Izzet +7
Mathematics · #13C14 #13D02 #14F05 #14J60 #14M15 #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.AG #math.CO #msc:13C14 #msc:13D02 #msc:14F05 #msc:14J60 #msc:14M15
paper · pdf · doi:10.48550/arxiv.1512.06193
36 pages, 11 figures. Merges and replaces arXiv:1507.00102 and arXiv:1506.03586
arxiv created 2015/12/19 · arxiv updated 2015/12/22
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.