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

In this article we investigate the p -rank of function fields in several good towers. To do this we first recall and establish some properties of the behaviour of the p -rank under extensions. Then we compute the p -ranks of function fields in several optimal towers over a quadratic field , as well...

Full description

Saved in:
Bibliographic Details
Published in:Boletim da Sociedade Brasileira de Matemática 2010-12, Vol.41 (4), p.567-582
Main Authors: Bassa, A., Beelen, P.
Format: Article
Language:English
Subjects:
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Theoretical
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this article we investigate the p -rank of function fields in several good towers. To do this we first recall and establish some properties of the behaviour of the p -rank under extensions. Then we compute the p -ranks of function fields in several optimal towers over a quadratic field , as well as for a specific good tower over a cubic field , which was introduced by Bassa, Garcia and Stichtenoth.
ISSN:1678-7544
1678-7714
DOI:10.1007/s00574-010-0026-8