Toricness and smoothness criteria for spherical varieties
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866908756913160192 |
|---|---|
| author | Gagliardi, Giuliano Hofscheier, Johannes Pearson, Heath |
| author_facet | Gagliardi, Giuliano Hofscheier, Johannes Pearson, Heath |
| contents | We prove equivalent numerical conditions for a complete spherical variety to admit a toric structure, and for the smoothness of an arbitrary spherical variety along any given G-orbit. The conditions are in terms of spherical skeletons, a coarse ''subset'' of the Luna-Vust data of a spherical variety. Our smoothness criterion improves upon classical criteria by removing the dependency on external reference tables. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_06376 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Toricness and smoothness criteria for spherical varieties Gagliardi, Giuliano Hofscheier, Johannes Pearson, Heath Algebraic Geometry Representation Theory 14M27 (Primary) 14M25, 20G05 (Secondary) We prove equivalent numerical conditions for a complete spherical variety to admit a toric structure, and for the smoothness of an arbitrary spherical variety along any given G-orbit. The conditions are in terms of spherical skeletons, a coarse ''subset'' of the Luna-Vust data of a spherical variety. Our smoothness criterion improves upon classical criteria by removing the dependency on external reference tables. |
| title | Toricness and smoothness criteria for spherical varieties |
| topic | Algebraic Geometry Representation Theory 14M27 (Primary) 14M25, 20G05 (Secondary) |
| url | https://arxiv.org/abs/2601.06376 |