Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9492925 | Finite Fields and Their Applications | 2005 | 24 Pages |
Abstract
We explicitly identify infinitely many curves which are quotients of Fermat curves. We show that some of these have simple Jacobians with complex multiplication by a non-cyclotomic field. For a particular case we determine the local zeta functions with two independent methods. The first uses Jacobi sums and the second applies the general theory of complex multiplication, we verify that both methods give the same result.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Bert van Geemen, Kenji Koike, Annegret Weng,