The function epsilon for complex Tori and Riemann surfaces

In the framework of the quantization of Kahler manifolds carried out in [3] , [4], [5] and [6], one can define a smooth function, called the function e psilon, which is the central object of the theory. The first explicit calcu lation of this function can be found in [10]. In this paper we calculate the function epsilon, in the case of the complex tori and the Riemann surfaces.