Quantization of canonical cones of algebraic curves
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2001
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929302412460032 |
|---|---|
| author | Enriquez, B. Odesskii, A. |
| author_facet | Enriquez, B. Odesskii, A. |
| contents | We introduce a quantization of the graded algebra of functions on the canonical cone of an algebraic curve C, based on the theory of formal pseudodifferential operators. When C is a complex curve with Poincaré uniformization, we propose another, equivalent construction, based on the work of Cohen-Manin-Zagier on Rankin-Cohen brackets. We give a presentation of the quantum algebra when C is a rational curve, and discuss the problem of constructing algebraically "differential liftings". |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_0112148 |
| institution | arXiv |
| publishDate | 2001 |
| record_format | arxiv |
| spellingShingle | Quantization of canonical cones of algebraic curves Enriquez, B. Odesskii, A. Algebraic Geometry Quantum Algebra We introduce a quantization of the graded algebra of functions on the canonical cone of an algebraic curve C, based on the theory of formal pseudodifferential operators. When C is a complex curve with Poincaré uniformization, we propose another, equivalent construction, based on the work of Cohen-Manin-Zagier on Rankin-Cohen brackets. We give a presentation of the quantum algebra when C is a rational curve, and discuss the problem of constructing algebraically "differential liftings". |
| title | Quantization of canonical cones of algebraic curves |
| topic | Algebraic Geometry Quantum Algebra |
| url | https://arxiv.org/abs/math/0112148 |