Genus fields of congruence function fields

Myriam Maldonado-Ramírez, Martha Rzedowski-Calderón, Gabriel Villa-Salvador

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

© 2016 Elsevier Inc. Let k be a rational congruence function field and consider a finite separable extension K/k. We consider the extension K/k satisfying the following condition. For each prime in k at least one prime in K above it is tamely ramified. Then, except for constants, we find the genus field Kgeof K/k. In general, we describe the genus field of a global function field. We present some applications and examples of the main results.
Original languageAmerican English
Pages (from-to)56-75
Number of pages48
JournalFinite Fields and their Applications
DOIs
StatePublished - 1 Mar 2017

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Rational functions
Function Fields
Congruence
Genus

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Maldonado-Ramírez, Myriam ; Rzedowski-Calderón, Martha ; Villa-Salvador, Gabriel. / Genus fields of congruence function fields. In: Finite Fields and their Applications. 2017 ; pp. 56-75.
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Genus fields of congruence function fields. / Maldonado-Ramírez, Myriam; Rzedowski-Calderón, Martha; Villa-Salvador, Gabriel.

In: Finite Fields and their Applications, 01.03.2017, p. 56-75.

Research output: Contribution to journalArticle

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