Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4582852 | Finite Fields and Their Applications | 2014 | 19 Pages |
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 ââ chark we give a classification of group schemes B[â], 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
Sergey Rybakov,