The Hasse-Witt invariant in some towers of function fields over finite fields
β Scribed by A. Bassa; P. Beelen
- Publisher
- Springer
- Year
- 2010
- Tongue
- English
- Weight
- 168 KB
- Volume
- 41
- Category
- Article
- ISSN
- 1678-7714
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π SIMILAR VOLUMES
For a tower F 1 Κ F 2 Κ ΠΈ ΠΈ ΠΈ of algebraic function fields F i β«ή/β¬ q , define Ο lim iΗΘ N(F i )/g(F i ), where N(F i ) is the number of rational places and g(F i ) is the genus of F i β«ή/β¬ q . The tower is said to be asymptotically good if ΟΎ 0. We give a very simple explicit example of an asymptoti
We obtain lower bounds for the asymptotic number of rational points of smooth algebraic curves over finite fields. To do this we construct infinite Hilbert class field towers with good parameters. In this way we improve bounds of Serre, Perret, and Niederreiter and Xing.