𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the rational points of abelian varieties over ℤp-extensions of number fields

✍ Scribed by Kay Wingberg

Publisher
Springer
Year
1987
Tongue
English
Weight
743 KB
Volume
279
Category
Article
ISSN
0025-5831

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Rational Points On Certain Abelian Varie
Rational Points On Certain Abelian Varieties Over Function Fields
✍ F. Hazama 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 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

Extensions of abelian varieties defined
Extensions of abelian varieties defined over a number field
✍ Matthew A. Papanikolas; Niranjan Ramachandran 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 255 KB

We study the arithmetic aspects of the finite group of extensions of abelian varieties defined over a number field. In particular, we establish relations with congruences between modular forms and special values of L-functions.

Onp-adicL-functions and Zp-extensions of
Onp-adicL-functions and Zp-extensions of Certain Real Abelian Number Fields
✍ Hisao Taya 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 156 KB

Let k be a real abelian number field with Galois group 2 and p an odd prime number. Denote by k the cyclotomic Z p -extension of k with Galois group 1 and by k n the nth layer of k Âk. Assume that the order of 2 is prime to p and that p splits completely in kÂQ. In this article, we describe the orde