Tube formula, Berezinians, and Dwork formula. (English) Zbl 1140.14302

Summary: We consider an example of tubes of hypersurfaces in Euclidean space and generalise the tube formula to supercase. By this we assign to a point of the hypersurface in superspace a rational characteristic function. Does this rational function appear when we calculate the zeta-function of an arithmetic variety?


14G40 Arithmetic varieties and schemes; Arakelov theory; heights
14J32 Calabi-Yau manifolds (algebro-geometric aspects)
14M20 Rational and unirational varieties
14G10 Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture)
53C99 Global differential geometry
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