Explicit Arithmetic of Jacobians of Generalized Legendre Curves Over Global Function Fields (Paperback)

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 $\mathbb F_q(t^1/d)$.

General

Imprint:	American Mathematical Society
Country of origin:	United States
Series:	Memoirs of the American Mathematical Society
Release date:	October 2020
Authors:	Lisa Berger • Chris Hall • Rene Pannekoek • Rachel Pries • Shahed Sharif
Dimensions:	254 x 178 x 11mm (L x W x T)
Format:	Paperback
Pages:	131
ISBN-13:	978-1-4704-4219-4
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
LSN:	1-4704-4219-1
Barcode:	9781470442194

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