Data di Pubblicazione:
2005
Citazione:
Quotients of Fermat curves and a Hecke character / B. van Geemen, K. Koike, A. Weng. - In: FINITE FIELDS AND THEIR APPLICATIONS. - ISSN 1071-5797. - 11:1(2005), pp. 6-29.
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.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Fermat curves ; Complex multiplication ; Jacobi sums ; Hecke characters
Elenco autori:
B. van Geemen, K. Koike, A. Weng
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