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arXiv · 1807.02220

Arithmetic actions on cyclotomic function fields

Aristides Kontogeorgis·Jacob Kenneth Ward
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Abstract

We derive the group structure for cyclotomic function fields obtained by applying the Carlitz action for extensions of an initial constant field. The tame and wild structures are isolated to describe the Galois action on differentials. We show that the associated invariant rings are not polynomial.

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Aristides Kontogeorgis, Jacob Kenneth Ward. 2018-07-06. Arithmetic actions on cyclotomic function fields. https://arxiv.org/abs/1807.02220

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