Negative solutions to three-dimensional monomial Noether problem

Aiichi Yamasaki

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arXiv · 0909.0586

Negative solutions to three-dimensional monomial Noether problem

Aiichi Yamasaki

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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.

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Aiichi Yamasaki. 2010-01-02. Negative solutions to three-dimensional monomial Noether problem. https://arxiv.org/abs/0909.0586

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