Abstract.
In this article we derive strong conditions on the defining equations of asymptotically good Artin-Schreier towers. We will show that at most three kinds of defining equations can give rise to a recursively defined good tower, if we restrict ourselves to prime degrees.
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1A. Garcia and H. Stichtenoth did part of thiswork during their stay at Sabanci University, Istanbul, Turkey (Sept. 2002).
2A. Garcia was partially supported by PRONEX # 662408/1996-3 (CNPq-Brazil).
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Beelen, P., Garcia, A. & Stichtenoth, H. On towers of function fields of Artin-Schreier type. Bull Braz Math Soc, New Series 35, 151–164 (2004). https://doi.org/10.1007/s00574-004-0008-9
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DOI: https://doi.org/10.1007/s00574-004-0008-9
Keywords:
- function fields
- finite fields
- towers of function fields
- rational places
- genus
- limits of towers
- Artin-Schreier extensions