𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On Abelian Varieties Over Function Fields

✍ Scribed by Wei-Liang Chow

Book ID
123670739
Publisher
National Academy of Sciences
Year
1955
Tongue
English
Weight
245 KB
Volume
41
Category
Article
ISSN
0027-8424

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Universal Norms on Abelian Varieties ove
Universal Norms on Abelian Varieties over Global Function Fields
✍ Matthew A. Papanikolas πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 169 KB

We examine the Mazur-Tate canonical height pairing defined between an abelian variety over a global field and its dual. We show in the case of global function fields that certain of these pairings are annihilated by universal norms coming from Carlitz cyclotomic extensions. Furthermore, for elliptic

Rational Points On Certain Abelian Varie
Rational Points On Certain Abelian Varieties Over Function Fields
✍ F. Hazama πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 269 KB

A structure theorem on the Mordell-Weil group of abelian varieties which arise as the twists associated with various double covers of varieties is proved. As an application, a three-parameter family of elliptic curves whose generic Mordell-Weil rank is four is constructed. * 1995 Academic Press. Inc