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arXiv · 1512.08264

Genus Fields of Congruence Function Fields

Myriam Maldonado-Ramírez·Martha Rzedowski-Calderón·Gabriel Villa-Salvador
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Abstract

Let $k$ be a rational congruence function field and consider an arbitrary finite separable extension $K/k$. If for each prime in $k$ ramified in $K$ we have that at least one ramification index is not divided by the characteristic of $K$, we find the genus field $\g K$, except for constants, of the extension $K/k$. In general, we describe the genus field of a global function field.

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Myriam Maldonado-Ramírez, Martha Rzedowski-Calderón, Gabriel Villa-Salvador. 2015-12-27. Genus Fields of Congruence Function Fields. https://arxiv.org/abs/1512.08264

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