Commuting families in skew fields and quantization of Beauville's fibration
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2001
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866913297774673920 |
|---|---|
| author | Enriquez, B. Rubtsov, V. |
| author_facet | Enriquez, B. Rubtsov, V. |
| contents | We construct commuting families in fraction fields of symmetric powers of algebras. The classical limit of this construction gives Poisson commuting families associated with linear systems. In the case of a K3 surface S, they correspond to lagrangian fibrations introduced by Beauville. When S is the canonical cone of an algebraic curve C, we construct commuting families of differential operators on symmetric powers of C, quantizing the Beauville systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_0112276 |
| institution | arXiv |
| publishDate | 2001 |
| record_format | arxiv |
| spellingShingle | Commuting families in skew fields and quantization of Beauville's fibration Enriquez, B. Rubtsov, V. Algebraic Geometry Quantum Algebra We construct commuting families in fraction fields of symmetric powers of algebras. The classical limit of this construction gives Poisson commuting families associated with linear systems. In the case of a K3 surface S, they correspond to lagrangian fibrations introduced by Beauville. When S is the canonical cone of an algebraic curve C, we construct commuting families of differential operators on symmetric powers of C, quantizing the Beauville systems. |
| title | Commuting families in skew fields and quantization of Beauville's fibration |
| topic | Algebraic Geometry Quantum Algebra |
| url | https://arxiv.org/abs/math/0112276 |