Non-constant curves of genus 2 with infinite pro-Galois covers |
| |
| Authors: | Claus Diem Gerhard Frey |
| |
| Institution: | 1.Fakult?t für Mathematik und Informatik,Universit?t Leipzig,Leipzig,Germany;2.Institut für Experimentelle Mathematik,Universit?t Duisburg-Essen,Essen,Germany |
| |
| Abstract: | For every odd prime number p, we give examples of non-constant smooth families of curves of genus 2 over fields of characteristic p which have pro-Galois (pro-étale) covers of infinite degree with geometrically connected fibers. The Jacobians of the curves
are isomorphic to products of elliptic curves. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
