Explicit Arithmetic of Jacobians of Generalized Legendre Curves over Global Function Fields - Brossura

Berger, Lisa; Hall, Chris; Pannekoek, Rene; Pries, Rachel; Sharif, Shahed

Brossura

ISBN 10: 1470442191 ISBN 13: 9781470442194

Casa editrice: Amer Mathematical Society, 2020

Riassunto

The authors study the Jacobian $J$ of the smooth projective curve $C$ of genus $r-1$ with affine model $y^r = x^r-1(x + 1)(x + t)$ over the function field $\mathbb F_p(t)$, when $p$ is prime and $r\ge 2$ is an integer prime to $p$. When $q$ is a power of $p$ and $d$ is a positive integer, the authors compute the $L$-function of $J$ over $\mathbb F_q(t^1/d)$ and show that the Birch and Swinnerton-Dyer conjecture holds for $J$ over $\mathbb F_q(t^1/d)$.

Dettagli dell'edizione

• Editore: Amer Mathematical Society
• Data di pubblicazione: 2020
• Lingua: Inglese
• ISBN 10: 1470442191
• ISBN 13: 9781470442194
• Rilegatura: Copertina flessibile
• Numero di pagine: 131
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile