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: vesko@math.cornell.edu

Article author query
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Abstract

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.