Stringy Hodge Numbers and P-adic Hodge Theory
نویسندگان
چکیده
Stringy Hodge numbers are introduced by Batyrev for a mathematical formulation of mirror symmetry. However, since the stringy Hodge numbers of an algebraic variety are defined by choosing a resolution of singularities, the well-definedness is not clear from the definition. Batyrev proved the well-definedness by using the theory of motivic integration developed by Kontsevich, Denef-Loeser. The aim of this paper is to give an alternative proof of the well-definedness of stringy Hodge numbers based on arithmetic results such as p-adic integration and p-adic Hodge theory.
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