Vetenskap & teknik
Pocket
Explicit Arithmetic of Jacobians of Generalized Legendre Curves Over Global Function Fields
Lisa Berger • Chris Hall • Rene Pannekoek • Rachel Pries • Shahed Sharif
1449:-
Tillfälligt slut online – klicka på "Bevaka" för att få ett mejl så fort varan går att köpa igen.
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 $\mathbb F_q(t^1/d)$.
- Format: Pocket/Paperback
- ISBN: 9781470442194
- Språk: Engelska
- Antal sidor: 131
- Utgivningsdatum: 2020-10-30
- Förlag: American Mathematical Society