Computations in Cubic Function Fields of Characteristic Three

zbMATH Open1317.11130arXiv1009.0737MaRDI QIDQ5499944

Mark Bauer, Jonathan Webster

Publication date: 5 August 2015

Abstract: This paper contains an account of arbitrary cubic function fields of characteristic three. We define a standard form for an arbitrary cubic curve and consider its function field. By considering an integral basis for the maximal order of these function fields, we are able to calculate the field discriminant and the genus. We also describe the splitting behavior of any place, and give composition and reduction algorithms for arithmetic in the ideal class group.

Full work available at URL: https://arxiv.org/abs/1009.0737

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40)

Related Items (6)

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