62 citations · 348 across the 73 of their papers we have counts for
75 papers
A combinatorial rule for -multiplicities of -quiver loci
Ian Cavey, Andrew Hardt, Alexander Yong
We give the first positive combinatorial rule for the multiplicities of irreducible -representations in the coordinate rings of type quiver orbit closures, valid for every…
Schubert determinantal ideals are Hilbertian
Ada Stelzer, Alexander Yong
Abhyankar defined an ideal to be Hilbertian if its Hilbert polynomial coincides with its Hilbert function for all nonnegative integers. In 1984, he proved that the ideal of (r+1)-o…
Combinatorial commutative algebra rules
Ada Stelzer, Alexander Yong
An algorithm is presented that generates sets of size equal to the degree of a given variety defined by a homogeneous ideal. This algorithm suggests a versatile framework to study…
Levi-spherical Schubert varieties
Yibo Gao, Reuven Hodges, Alexander Yong
We prove a short, root-system uniform, combinatorial classification of Levi-spherical Schubert varieties for any generalized flag variety of finite Lie type. We apply this to…
Schubert geometry and combinatorics
Alexander Woo, Alexander Yong
This chapter combines an introduction and research survey about Schubert varieties. The theme is to combinatorially classify their singularities using a family of polynomial ideals…
Presenting the cohomology of a Schubert variety: Proof of the minimality conjecture
Avery St. Dizier, Alexander Yong
A minimal presentation of the cohomology ring of the flag manifold was given in [A. Borel, 1953]. This presentation was extended by [E. Akyildiz-A. Lascoux-P. Pragacz, 199…