English

Enumeration of permutations indexing local complete intersection Schubert varieties

Combinatorics 2016-11-17 v1

Abstract

We find the generating function for the permutation class A=Av(52341,53241,52431,35142,42513,351624)\mathcal{A}'=\text{Av}(52341,53241,52431,35142,42513,351624) whose permutations index local complete intersection Schubert varieties. The method we apply is the extension of how Albert and Brignall discover the generating function for A=Av(4231,35142,42513,351624)\mathcal{A}=\text{Av}(4231,35142,42513,351624) in their paper. This completes the enumerations of all classical permutation classes indexing certain types of Schubert varieties.

Cite

@article{arxiv.1611.05059,
  title  = {Enumeration of permutations indexing local complete intersection Schubert varieties},
  author = {Masaki Ikeda},
  journal= {arXiv preprint arXiv:1611.05059},
  year   = {2016}
}
R2 v1 2026-06-22T16:53:36.630Z