Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.20924 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911534654947328 |
|---|---|
| author | Liu, Ruizhen |
| author_facet | Liu, Ruizhen |
| contents | We investigate the geometry behind the $q$-Klyachko algebra, introduced by Nadeau--Tewari. When $q$ is a prime power, we show that the $q$-Klyachko algebra is the image of the pullback map on Chow rings $\mathrm{CH}(\mathrm{Fl}_{n+1})\to\mathrm{CH}(\mathrm{DL}_n)$, where $\mathrm{DL}_n\subseteq \mathrm{Fl}_n$ is a compactified Deligne--Lusztig variety inside the complete flag variety $\mathrm{Fl}_{n+1}$. When $q$ is a positive rational number, we establish a Kähler package for the $q$-Klyachko algebra through inputs from toric geometry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_20924 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Deligne--Lusztig varieties, toric orbifolds, and the $q$-Klyachko algebra Liu, Ruizhen Combinatorics Algebraic Geometry We investigate the geometry behind the $q$-Klyachko algebra, introduced by Nadeau--Tewari. When $q$ is a prime power, we show that the $q$-Klyachko algebra is the image of the pullback map on Chow rings $\mathrm{CH}(\mathrm{Fl}_{n+1})\to\mathrm{CH}(\mathrm{DL}_n)$, where $\mathrm{DL}_n\subseteq \mathrm{Fl}_n$ is a compactified Deligne--Lusztig variety inside the complete flag variety $\mathrm{Fl}_{n+1}$. When $q$ is a positive rational number, we establish a Kähler package for the $q$-Klyachko algebra through inputs from toric geometry. |
| title | Deligne--Lusztig varieties, toric orbifolds, and the $q$-Klyachko algebra |
| topic | Combinatorics Algebraic Geometry |
| url | https://arxiv.org/abs/2603.20924 |