The multiplicity of a singularity in a vexillary Schubert variety
D Anderson, T Ikeda, M Jeon, R Kawago - Advances in Mathematics, 2023 - Elsevier
In a classical-type flag variety, we consider a Schubert variety associated to a vexillary
(signed) permutation, and establish a combinatorial formula for the Hilbert-Samuel …
(signed) permutation, and establish a combinatorial formula for the Hilbert-Samuel …
[PDF][PDF] Schubert geometry and combinatorics
A Woo, A Yong - arXiv preprint arXiv:2303.01436, 2023 - arxiv.org
arXiv:2303.01436v1 [math.AG] 2 Mar 2023 Page 1 arXiv:2303.01436v1 [math.AG] 2 Mar
2023 SCHUBERT GEOMETRY AND COMBINATORICS ALEXANDER WOO AND …
2023 SCHUBERT GEOMETRY AND COMBINATORICS ALEXANDER WOO AND …
A Gröbner basis for Kazhdan-Lusztig ideals of the flag variety of affine type A
B Elek, D Huang - Advances in Mathematics, 2024 - Elsevier
A Kazhdan-Lusztig variety is the intersection of a locally-closed Schubert cell with an
opposite Schubert variety in a flag variety. We present a linear parametrization of the …
opposite Schubert variety in a flag variety. We present a linear parametrization of the …
Ideal transition systems
E Marberg, B Pawlowksi - arXiv preprint arXiv:2412.17320, 2024 - arxiv.org
This semi-expository article presents an inductive method of computing initial ideals and Gr\"
obner bases for families of ideals in a polynomial ring. This method starts from a given set of …
obner bases for families of ideals in a polynomial ring. This method starts from a given set of …
[PDF][PDF] Degrees of P-Grothendieck polynomials and regularity of Pfaffian varieties
MS Denis - 2024 - uwspace.uwaterloo.ca
We prove a formula for the degrees of Ikeda and Naruse's P-Grothendieck polynomials
using combinatorics of shifted tableaux. We show this formula can be used in conjunction …
using combinatorics of shifted tableaux. We show this formula can be used in conjunction …