Compositio Mathematica

Sufficiency of Lakshmibai–Sandhya Singularity Conditions for Schubert Varieties

Vesselin Gasharov a1
a1 Department of Mathematics, Cornell University, Ithaca, NY 14853, U.S.A. E-mail:

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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.

Key Words: Schubert variety; singular locus.