Negative solutions to three-dimensional monomial Noether problem
Number Theory
2010-01-02 v2 Algebraic Geometry
Abstract
Three-dimensional monomial Noether problem can have negative solutions for 8 groups by the suitable choice of the coefficients. We find the necessary and sufficient condition for the coefficients to have a negative solution. The results are obtained by two criteria of irrationality using Galois cohomology.
Cite
@article{arxiv.0909.0586,
title = {Negative solutions to three-dimensional monomial Noether problem},
author = {Aiichi Yamasaki},
journal= {arXiv preprint arXiv:0909.0586},
year = {2010}
}