Paperback (30 Oct 2020)
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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 $\mathbb F_q(t^1/d)$.
| ISBN: | 9781470442194 |
| Publisher: | American Mathematical Society |
| Imprint: | American Mathematical Society |
| Pub date: | 30 Oct 2020 |
| DEWEY: | 516.353 |
| DEWEY edition: | 23 |
| Language: | English |
| Number of pages: | v, 131 |
| Weight: | 270g |
| Height: | 177mm |
| Width: | 253mm |
| Spine width: | 11mm |
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