Everywhere ramified towers of global function fields

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Abstract

We construct a tower of function fields F0 ⊂ F1 ⊂ ... over a finite field such that every place of every Fi ramifies in the tower and limgenus(Fi)/[Fi : F0] 0, where NFi is the number of degree-1 places of Fi. These towers answer questions posed by Stichtenoth at Fq7. © Springer-Verlag Berlin Heidelberg 2004.

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Duursma, I., Poonen, B., & Zieve, M. (2004). Everywhere ramified towers of global function fields. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2948, 148–153. https://doi.org/10.1007/978-3-540-24633-6_12

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