Schur flexibility of cominuscule Schubert varieties

Details Schur flexibility of cominuscule Schubert varieties Schur flexibility of cominuscule Schubert varieties

2012-03-01

arxiv.org/abs/1203.0328v1

Mathematics

Algebraic Geometry

Two figures for the exceptional E6 and E7

Scientific paper

Let X=G/P be cominuscule rational homogeneous variety. (Equivalently, X admits the structure of a compact Hermitian symmetric space.) We say a Schubert class [S] is Schur rigid if the only irreducible subvarieties Y of X with homology class [Y] = r [S], for an integer r, are Schubert varieties. Robles and The identified a sufficient condition for a Schubert class to be Schur rigid. In this paper we show that the condition is also necessary.

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