Multiplicity-free subvarieties of flag varieties

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Consider a flag variety $Fl$ over an algebraically closed field, and a subvariety $V$ whose cycle class is a multiplicity-free sum of Schubert cycles. We show that $V$ is arithmetically normal and Cohen-Macaulay, in the projective embedding given by any ample invertible sheaf on $Fl$.
LaTeX, 13 pages

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Algebraic Geometry, Commutative Algebra, 14L30; 14M05; 14M15; 14N15

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http://salesiana.dossiersoluciones.com/handle/123456789/65521

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0211028
 http://arxiv.org/abs/math/0211028

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arXiv