Quantization of canonical cones of algebraic curves

被引：3
|
作者：
Enriquez, B
Okesskii, A
机构：
[1] Univ Strasbourg 1, IRMA, CNRS, F-67084 Strasbourg, France
[2] LD Landau Theoret Phys Inst, Moscow 117334, Russia
来源：
ANNALES DE L INSTITUT FOURIER | 2002年 / 52卷 / 06期
关键词：
algebraic curves; canonical cones; formal pseudodifferential operators; Rankin-Cohen brackets; Poincare uniformization;
D O I：
10.5802/aif.1929
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 Poincare 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".
引用
收藏
页码：1629 / +
页数：36
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