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...

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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
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Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Theoretical
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description 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.
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Mathematics and Statistics
Theoretical
title The Hasse-Witt invariant in some towers of function fields over finite fields
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