๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Points on Shimura curves over fields of even degree

โœ Scribed by S. Kamienny

Publisher
Springer
Year
1990
Tongue
English
Weight
206 KB
Volume
286
Category
Article
ISSN
0025-5831

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Counting Points on Curves over Finite Fi
Counting Points on Curves over Finite Fields
โœ Ming-Deh Huang; Doug Ierardi ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 602 KB

We consider the problem of counting the number of points on a plane curve, defined by a homogeneous polynomial F (x, y, z) โˆˆ Fq[x, y, z], which are rational over a ground field Fq. More precisely, we show that if we are given a projective plane curve C of degree n, and if C has only ordinary multipl

Higher Heegner points on elliptic curves
Higher Heegner points on elliptic curves over function fields
โœ Florian Breuer ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 273 KB

Let E be a modular elliptic curve defined over a rational function field k of odd characteristic. We construct a sequence of Heegner points on E; defined over a Z N p -tower of finite extensions of k; and show that these Heegner points generate a group of infinite rank. This is a function field anal

Counting Points on Curves and Abelian Va
Counting Points on Curves and Abelian Varieties Over Finite Fields
โœ Leonard M. Adleman; Ming-Deh Huang ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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