Article ID Journal Published Year Pages File Type
4582852 Finite Fields and Their Applications 2014 19 Pages PDF
Abstract
Let A be an abelian variety over a finite field k. The k-isogeny class of A is uniquely determined by the Weil polynomial fA. For a given prime number ℓ≠chark we give a classification of group schemes B[ℓ], where B runs through the isogeny class, in terms of certain Newton polygons associated to fA. As an application we classify zeta functions of Kummer surfaces over k.
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
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