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Number of Points of Varieties in Finite Fields

✍ Scribed by Serge Lang and Andre Weil


Book ID
115523007
Publisher
John Hopkins University Press
Year
1954
Tongue
English
Weight
781 KB
Volume
76
Category
Article
ISSN
0002-9327

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Counting Points on Curves and Abelian Va
✍ Leonard M. Adleman; Ming-Deh Huang πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 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