Projective threefolds on which $\mathbf {SL}(2)$ acts with 2-dimensional general orbits

DOI10.1090/S0002-9947-98-02081-9zbMath0980.14012MaRDI QIDQ4211082

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Publication date: 10 September 1998

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

birational classificationminimal model theoryprojective threefoldsSL(2)-action

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) (3)-folds (14J30) Minimal model program (Mori theory, extremal rays) (14E30)

Related Items (2)

Equivariant minimal model program ⋮ Fano threefolds with infinite automorphism groups

Cites Work

• Plongements d'espaces homogènes
• On the classification of essentially effective SL(2;C)x SL(2;C)-actions on algebraic threefolds
• On action of SL(2) on complete algebraic varieties
• Equivariant completion. II
• Algebraic approximation of structures over complete local rings
• Some Basic Theorems on Algebraic Groups
• Regular actions of simple algebraic groups on projective threefolds
• Minimal rational threefolds II
• Maximal algebraic subgroups of the Cremona group of three variables—Imprimitive algebraic subgroups of exceptional type
• Sur les sous-groupes algebriques primitifs du groupe de cremona a trois variables
• Sous-groupes algébriques de rang maximum du groupe de Cremona
• On SL(2)-actions without 3-dimensional orbits
• Algebraic SL(2)-actions: deformations of infinite isotropy subgroups
• Threefolds whose canonical bundles are not numerically effective
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