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 Varieties Over Function Fields
✍ Scribed by F. Hazama
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 269 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0022-314X
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✦ Synopsis
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.
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