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1 results

  • Stringy Hodge numbers and p-adic Hodge theory

  • Tetsushi Ito
  • Journal:
    Compositio Mathematica / Volume 140 / Issue 6 / November 2004
    Published online by Cambridge University Press:
    15 October 2004, pp. 1499-1517
    Print publication:
    November 2004
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  • The aim of this paper is to give an application of p-adic Hodge theory to stringy Hodge numbers introduced by V. Batyrev for a mathematical formulation of mirror symmetry. 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. We give a proof of the well-definedness by using arithmetic techniques such as p-adic integration and p-adic Hodge theory. Note that another proof of the well-definedness was obtained by V. Batyrev himself by motivic integration.