Regular actions of simple algebraic groups on projective threefolds

DOI10.1017/S0027763000001732zbMath0704.14037MaRDI QIDQ3483401

Tetsuo Nakano

Publication date: 1989

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Mori theoryextremal raysFano threefoldsprojective threefoldregular action of a simply connected simple algebraic group

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) (3)-folds (14J30) Fano varieties (14J45) Divisors, linear systems, invertible sheaves (14C20)

Related Items (4)

TOWARD A CLASSIFICATION OF ALMOST HOMOGENEOUS MANIFOLDS III — SL(2)×C* ACTIONS ⋮ Smooth structures on complex surfaces with fundamental group $\mathbf {Z}_2$ ⋮ TOWARD A CLASSIFICATION OF ALMOST HOMOGENEOUS MANIFOLDS II — BAD MODELS ⋮ Projective threefolds on which $\mathbf {SL}(2)$ acts with 2-dimensional general orbits

Cites Work

• Some theorems on actions of algebraic groups
• The intermediate Jacobian of the cubic threefold
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• The maximal subgroups of the classical groups
• Minimal rational threefolds II
• FANO 3-FOLDS. II
• Maximal algebraic subgroups of the Cremona group of three variables—Imprimitive algebraic subgroups of exceptional type
• FANO 3-FOLDS. I
• Sur les sous-groupes algebriques primitifs du groupe de cremona a trois variables
• Threefolds whose canonical bundles are not numerically effective

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