Rationality of three-dimensional quotients by monomial actions

DOI10.1016/j.jalgebra.2010.07.037zbMath1219.14017arXiv0910.1148OpenAlexW1988946902MaRDI QIDQ618242

Ming-chang Kang, Yuri G. Prokhorov

Publication date: 14 January 2011

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.1148

zbMATH Keywords

Noether's problemrationality problemmultiplicative group actionsmonomial automorphisms

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Actions of groups on commutative rings; invariant theory (13A50) Transcendental field extensions (12F20) Rationality questions in algebraic geometry (14E08)

Related Items

Rationality Problem for Algebraic Tori, Rationality problem for transitive subgroups of \(S_8\), Noether's problem for the groups with a cyclic subgroup of index 4, Negative solutions to three-dimensional monomial Noether problem, Rationality problem of three-dimensional monomial group actions, Unramified Brauer group of the moduli spaces of \(\mathrm{PGL}_r(\mathbb C)\)-bundles over curves

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