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Sufficiency of Lakshmibai–Sandhya Singularity Conditions for Schubert Varieties

Published online by Cambridge University Press:  04 December 2007

Vesselin Gasharov
Vesselin Gasharov
Affiliation:
Department of Mathematics, Cornell University, Ithaca, NY 14853, U.S.A. E-mail: vesko@math.cornell.edu
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Abstract

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We establish one direction of a conjecture by Lakshmibai and Sandhya which describes combinatorially the singular locus of a Schubert variety. We prove that the conjectured singular locus is contained in the singular locus.

Keywords

Schubert varietysingular locus
Type
Research Article
Information
Compositio Mathematica , Volume 126 , Issue 1 , March 2001 , pp. 47 - 56
Copyright
© 2001 Kluwer Academic Publishers