Staircase diagrams and the enumeration of smooth Schubert varieties
1 : Department of Mathematics, Oklahoma State University, Stillwater, OK
3 : Institute for Quantum Computing [Waterloo]
(IQC)
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Website
University of Waterloo 200 University Ave. West Waterloo, Ontario, Canada N2L 3G1 -
Canada
In this extended abstract, we give a complete description and enumeration of smooth and rationally smooth Schubert varieties in finite type. In particular, we show that rationally smooth Schubert varieties are in bijection with a new combinatorial data structure called staircase diagrams.
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