Explicit Arithmetic of Jacobians of Generalized Legendre Curves Over Global Function Fields Paperback / softback
by Lisa Berger, Chris Hall, Rene Pannekoek, Rachel Pries, Shahed Sharif
Part of the Memoirs of the American Mathematical Society series
Paperback / softback
Description
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 $\mathbb F_q(t^1/d)$.
Information
-
Out of stock
- Format:Paperback / softback
- Pages:131 pages
- Publisher:American Mathematical Society
- Publication Date:30/10/2020
- Category:
- ISBN:9781470442194
Information
-
Out of stock
- Format:Paperback / softback
- Pages:131 pages
- Publisher:American Mathematical Society
- Publication Date:30/10/2020
- Category:
- ISBN:9781470442194