Edward Richmond ; William Slofstra
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Staircase diagrams and the enumeration of smooth Schubert varieties
dmtcs:6411 -
Discrete Mathematics & Theoretical Computer Science,
April 22, 2020,
DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016)
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https://doi.org/10.46298/dmtcs.6411
Staircase diagrams and the enumeration of smooth Schubert varieties
Authors: Edward Richmond 1,2; William Slofstra 3
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Edward Richmond;William Slofstra
1 Oklahoma State University [Stillwater]
2 University of Oklahoma
3 Institute for Quantum Computing [Waterloo]
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.