Schur flexibility of cominuscule Schubert varieties
Algebraic Geometry
2013-07-08 v3 Differential Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.1203.0328,
title = {Schur flexibility of cominuscule Schubert varieties},
author = {Colleen Robles},
journal= {arXiv preprint arXiv:1203.0328},
year = {2013}
}
Comments
Two figures for the exceptional E6 and E7. Version 3: editorial revisions