Negative solutions to three-dimensional monomial Noether problem

Details Negative solutions to three-dimensional monomial Noether problem Negative solutions to three-dimensional monomial Noether problem

2009-09-03

arxiv.org/abs/0909.0586v2

Mathematics

Number Theory

Scientific paper

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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