Rationality problem of \(GL_{4}\) group actions.

DOI10.1016/S0001-8708(03)00067-7zbMath1084.14508MaRDI QIDQ1421908

Ming-chang Kang

Publication date: 3 February 2004

Published in: Advances in Mathematics (Search for Journal in Brave)

zbMATH Keywords

Noether's problemRationalityAlgebraic toriMultiplicative actions

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Transcendental field extensions (12F20) Rationality questions in algebraic geometry (14E08)

Related Items

Rationality problem for transitive subgroups of \(S_8\), A two-dimensional rationality problem and intersections of two quadrics, Three-dimensional purely quasimonomial actions, Rationality of three-dimensional quotients by monomial actions, Rational invariants for subgroups of \(S_5\) and \(S_7\), Noether's problem for the groups with a cyclic subgroup of index 4, The rationality problem for finite subgroups of \(\mathrm{GL}_4(\mathbb Q)\), Negative solutions to three-dimensional monomial Noether problem, Rationality problem of three-dimensional monomial group actions, Some group actions on \(K(x_1,x_2,x_3)\), Rationality problem for some transitive subgroups of S₁₄, Invariants of wreath products and subgroups of \(S_6\)

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