Work

Congruence Function Fields with Class Number One

Year: 2014

Type: preprint

Abstract: We prove that there exists, up to isomorphism, exactly one function field over the finite field of two elements of class number one and genus four. This result, together with the ones of MacRae, Madan, Leitzel, Queen and Stirpe, establishes that there exist eight non-isomorphic congruence function fields of genus larger than zero and class number one.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1412.4824

Authors: Rzedowski-Calderón, Martha, Villa-Salvador, Gabriel

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4394657240

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