๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Infinite class towers for function fields

โœ Scribed by Jing Long Hoelscher


Book ID
119304727
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
159 KB
Volume
133
Category
Article
ISSN
0022-314X

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


A Counterexample to Perret's Conjecture
โœ Harald Niederreiter; Chaoping Xing ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 92 KB

We show by a counterexample that Perret's conjecture on in"nite class "eld towers for global function "elds is wrong, and so Perret's method of in"nite rami"ed class "eld towers in the asymptotic theory of global function "elds with many rational places breaks down.

Infinite class field towers
โœ Jing Long Hoelscher ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Springer ๐ŸŒ English โš– 149 KB
Hilbert Class Field Towers of Function F
โœ Alexandre Temkine ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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.