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- W2950845861 abstract "K. Ding studied a class of Schubert varieties X_lambda in type A partial flag manifolds, corresponding to integer partitions lambda and in bijection with dominant permutations. He observed that the Schubert cell structure of X_lambda is indexed by maximal rook placements on the Ferrers board B_lambda, and that the integral cohomology groups H^*(X_lambda; Zz), H^*(X_mu; Zz) are additively isomorphic exactly when the Ferrers boards B_lambda, B_mu satisfy the combinatorial condition of rook-equivalence. We classify the varieties X_lambda up to isomorphism, distinguishing them by their graded cohomology rings with integer coefficients. The crux of our approach is studying the nilpotence orders of linear forms in the cohomology ring." @default.
- W2950845861 created "2019-06-27" @default.
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- W2950845861 date "2004-03-31" @default.
- W2950845861 modified "2023-09-23" @default.
- W2950845861 title "Classification of Ding's Schubert varieties: finer rook equivalence" @default.
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