Motivic Integrals and Functional Equations
نویسنده
چکیده
The functional equation for the motivic integral of Milnor number of a plane curve is derived using the Denef-Loeser formula for the change of variables. Its solution is a function of five auxiliary parameters, it is unique up to the multiplication by the constant and there is a simple algorithm to find its coefficients. The method is universal enough and gives, for example, the equations for the integral of intersection index over the space of pairs of arcs and over the space of unordered tuples of arcs.
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