𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The groups of points on abelian varieties over finite fields

✍ Scribed by Sergey Rybakov


Book ID
111488567
Publisher
SP Versita
Year
2010
Tongue
English
Weight
679 KB
Volume
8
Category
Article
ISSN
1895-1074

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Counting Points on Curves and Abelian Va
✍ Leonard M. Adleman; Ming-Deh Huang 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 343 KB

We develop efficient methods for deterministic computations with semi-algebraic sets and apply them to the problem of counting points on curves and Abelian varieties over finite fields. For Abelian varieties of dimension g in projective N space over Fq, we improve Pila's result and show that the pro

Rational Points On Certain Abelian Varie
✍ 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

Group Structures of Elementary Supersing
✍ Hui June Zhu 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 176 KB

Let A be a supersingular abelian variety over a finite field k which is k-isogenous to a power of a simple abelian variety over k. Write the characteristic polynomial of the Frobenius endomorphism of A relative to k as f = g e for a monic irreducible polynomial g and a positive integer e. We show th

On Supersingular Abelian Varieties of Di
✍ Chaoping Xing 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 243 KB

In this paper we study the characteristic polynomials and the rational point group structure of supersingular varieties of dimension two over finite fields. Meanwhile, we also list all L-functions of supersingular curves of genus two over ‫ކ‬ 2 and determine the group structure of their divisor clas