It is known that Drinfeld modular curves can be used to construct asymptotically optimal towers of curves over finite fields. Using reductions of the Drinfeld modular curves X 0 Γ°nΓ, we try to find individual curves over finite fields with many rational points. The main idea is to divide by an Atkin
β¦ LIBER β¦
Dependent rational points on curves over finite fields - Lefschetz theorems and exponential sums
β Scribed by Johan P. Hansen
- Book ID
- 108497971
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 672 KB
- Volume
- 6
- Category
- Article
- ISSN
- 1571-0653
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
On Drinfeld Modular Curves with Many Rat
β
Andreas Schweizer
π
Article
π
2002
π
Elsevier Science
π
English
β 137 KB
Rational points and zeta functions of so
β
Long Wang; JinQuan Luo
π
Article
π
2010
π
SP Science China Press
π
English
β 200 KB
On the number of rational points on curv
β
Antonio Rojas-LeΓ³n
π
Article
π
2013
π
Elsevier Science
π
English
β 218 KB
On the number of rational points on some
β
Marko Moisio
π
Article
π
2007
π
Elsevier Science
π
English
β 162 KB
Counting Points on Curves and Abelian Va
β
Leonard M. Adleman; Ming-Deh Huang
π
Article
π
2001
π
Elsevier Science
π
English
β 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
The Maximum or Minimum Number of Rationa
β
Kristin Lauter; Jean-Pierre Serre
π
Article
π
2002
π
Cambridge University Press
π
English
β 207 KB