Tube formula, Berezinians, and Dwork formula
Hovhannes M. Khudaverdian
TL;DR
This paper extends the classical tube formula to superspaces, introducing a rational characteristic function for hypersurfaces in superspace and exploring its potential connection to the zeta-function of arithmetic varieties.
Contribution
It generalizes the tube formula to the supercase and introduces a rational characteristic function associated with hypersurfaces in superspace.
Findings
Defined a rational characteristic function for hypersurfaces in superspace
Extended the tube formula to the supercase
Posed a question about the connection to zeta-functions of arithmetic varieties
Abstract
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?
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Taxonomy
TopicsMatrix Theory and Algorithms