Determining irreducibility and ramification groups for an additive extension of the rational function field

Author:

Deolalikar Vinay

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference10 articles.

1. V. Deolalikar, On splitting places of degree one in extensions of algebraic function fields, towers of function fields meeting asymptotic bounds, and explicit basis constructions for algebraic-geometric codes, Ph.D. Dissertation, University of Southern California, 1999 (http://arXiv.org/abs/math.NT/0010307).

2. Extensions of algebraic function fields with complete splitting of all rational places;Deolalikar;Commun. Algebra,2002

3. Asymptotically good towers of function fields over finite fields;Garcia;C. R. Acad. Sci. Paris, Sér. I t.,1996

4. A class of polynomials over finite fields;Garcia;Finite Fields Appl.,1999

5. Basic Structures of Function Fields Arithmetic;Goss,1998

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