RATIONALITY OF SOME QUOTIENT VARIETIES
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Publication:3718856
DOI10.1070/SM1986v054n02ABEH002986zbMath0591.14040MaRDI QIDQ3718856
Pavel I. Katsylo, Fedor A. Bogomolov
Publication date: 1986
Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)
Homogeneous spaces and generalizations (14M17) Representation theory for linear algebraic groups (20G05) Geometric invariant theory (14L24) Group actions on varieties or schemes (quotients) (14L30) Rational and unirational varieties (14M20)
Related Items (19)
Unnamed Item ⋮ On Dixmier's fourth problem ⋮ Hyperelliptic curves and their invariants: geometric, arithmetic and algorithmic aspects ⋮ The Gelfand-Kirillov conjecture for semi-direct products of Lie algebras ⋮ Rationality of the moduli spaces of plane curves of sufficiently large degree ⋮ Rationality of the moduli spaces of 2-elementary 𝐾3 surfaces ⋮ Moduli of abelian covers of elliptic curves ⋮ Versal torsors and retracts ⋮ Non-rational varieties with the Hilbert Property ⋮ Rationality of the quotient of \(\mathbb P^2\) by finite group of automorphisms over arbitrary field of characteristic zero ⋮ Gorenstein stable surfaces with KX2=1 and pg>0 ⋮ Unramified cohomology of degree 3 and Noether's problem ⋮ The polynomiality of the Poisson center and semi-center of a Lie algebra and Dixmier's fourth problem ⋮ Essential dimension and the second Serre conjecture for exceptional groups ⋮ Rationality of quotients by linear actions of affine groups ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Invariant fields of symplectic and orthogonal groups. ⋮ Unramified algebraic Brauer group of homogeneous spaces
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