Year: 2025
Type: article
Abstract: Arrangement Schubert varieties have recently played an essential role in the proof of the Dowling–Wilson conjecture and in Kazhdan–Lusztig theory for matroids. We study these varieties as equivariant compactifications of affine spaces, and give necessary and sufficient conditions to characterize them. We also generalize the theory to include partial compactifications and morphisms between them. Our results resemble the correspondence between toric varieties and polyhedral fans.
DOI: 10.1093/imrn/rnaf368
Author: Colin Crowley
Institution: University of Oregon
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7118092979