Generalized Grothendieck's simultaneous resolution and associated varieties of simple affine vertex algebras
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866909435486535680 |
|---|---|
| author | Arakawa, Tomoyuki Futorny, Vyacheslav Krizka, Libor |
| author_facet | Arakawa, Tomoyuki Futorny, Vyacheslav Krizka, Libor |
| contents | The closure of a Diximier sheet is the image of a generalized Grothendieck's simultaneous resolution. We show that the associated variety of simple affine vertex algebras is contained in the closure of the Diximier sheet when a chiralization of generalized Grothendieck's simultaneous resolution exists. This generalizes in a conceptual manner the results obtained by the first named author and Anne Moreau and, in particular, allows to extend them to the types A_2, C_n, E_6, E_7. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_02365 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Generalized Grothendieck's simultaneous resolution and associated varieties of simple affine vertex algebras Arakawa, Tomoyuki Futorny, Vyacheslav Krizka, Libor Representation Theory Mathematical Physics 4M17, 17B67, 17B69 The closure of a Diximier sheet is the image of a generalized Grothendieck's simultaneous resolution. We show that the associated variety of simple affine vertex algebras is contained in the closure of the Diximier sheet when a chiralization of generalized Grothendieck's simultaneous resolution exists. This generalizes in a conceptual manner the results obtained by the first named author and Anne Moreau and, in particular, allows to extend them to the types A_2, C_n, E_6, E_7. |
| title | Generalized Grothendieck's simultaneous resolution and associated varieties of simple affine vertex algebras |
| topic | Representation Theory Mathematical Physics 4M17, 17B67, 17B69 |
| url | https://arxiv.org/abs/2404.02365 |