Explicit Arithmetic of Jacobians of Generalized Legendre Curves Over Global Function Fields

Lisa Berger, Chris Hall, Rene Pannekoek, Rachel Pries, Shahed Sharif (Autoren)

Buch | Softcover

131 Seiten

2020
American Mathematical Society (Verlag)
978-1-4704-4219-4 (ISBN)

Titel z.Zt. nicht lieferbar
Versandkostenfrei
Auch auf Rechnung

Artikel merken

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

Lisa Berger, Stony Brook University, NY Chris Hall, Western University, London, Ontario, Canada Rene Pannekoek, Imperial College, London, UK Rachel Pries, Colorado State University, Fort Collins, CO Shahed Sharif, California State University San Marcos, CA Alice Silverberg, University of California at Irvine, CA Douglas Ulmer, Georgia Institute of Technology, Atlanta, GA Jennifer Park, University of Michigan, Ann Arbor, MI

Erscheinungsdatum	02.07.2020
Reihe/Serie	Memoirs of the American Mathematical Society
Verlagsort	Providence
Sprache	englisch
Maße	178 x 254 mm
Gewicht	270 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	1-4704-4219-1 / 1470442191
ISBN-13	978-1-4704-4219-4 / 9781470442194
Zustand	Neuware