English

A counterexample to 'Algebraic function fields with small class number'

Number Theory 2013-11-26 v1

Abstract

I give a counter example of function field over GF(2) of genus 4 with class number one. This result contradicts a previous result in [2], Section 2 so that proof is wrong.

Cite

@article{arxiv.1311.6318,
  title  = {A counterexample to 'Algebraic function fields with small class number'},
  author = {Claudio Stirpe},
  journal= {arXiv preprint arXiv:1311.6318},
  year   = {2013}
}
R2 v1 2026-06-22T02:14:19.135Z