𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The Hasse-Witt invariant in some towers of function fields over finite fields

✍ Scribed by A. Bassa; P. Beelen


Publisher
Springer
Year
2010
Tongue
English
Weight
168 KB
Volume
41
Category
Article
ISSN
1678-7714

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


On Towers and Composita of Towers of Fun
✍ Arnaldo Garcia; Henning Stichtenoth; Michael Thomas πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 296 KB

For a tower F 1 Κ• F 2 Κ• ΠΈ ΠΈ ΠΈ of algebraic function fields F i ‫ކ/‬ q , define Ο­ lim iǞȍ 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 ‫ކ/‬ q . The tower is said to be asymptotically good if ΟΎ 0. We give a very simple explicit example of an asymptoti

Hilbert Class Field Towers of Function F
✍ Alexandre Temkine πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 184 KB

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.