Quantization of canonical cones of algebraic curves
Enriquez, Benjamin ; Odesskii, Alexander
HAL, hal-00128243 / Harvested from HAL
Text on HAL
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".
Publié le : 2001-07-05
Classification:  14H99,  [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG],  [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA] 
@article{hal-00128243,
     author = {Enriquez, Benjamin and Odesskii, Alexander},
     title = {Quantization of canonical cones of algebraic curves},
     journal = {HAL},
     volume = {2001},
     number = {0},
     year = {2001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00128243}
}

Enriquez, Benjamin; Odesskii, Alexander. Quantization of canonical cones of algebraic curves. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-00128243/