Minimal rational threefolds II

DOI10.1017/S0027763000002877zbMath0611.14035OpenAlexW4244577423MaRDI QIDQ3751711

Hiroshi Umemura

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1017/s0027763000002877

zbMATH Keywords

automorphism groupFano threefoldCremona group of three variablesmaximal connected algebraic subgroupsminimal rational threefolds

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Group actions on varieties or schemes (quotients) (14L30) Rational and unirational varieties (14M20) (3)-folds (14J30)

Related Items (6)

Regular actions of simple algebraic groups on projective threefolds ⋮ Mathematical works of Hiroshi Umemura ⋮ Equivariant minimal model program ⋮ Ample and spanned vector bundles of top Chern number two on smooth projective varieties ⋮ Fano threefolds with infinite automorphism groups ⋮ Projective threefolds on which $\mathbf {SL}(2)$ acts with 2-dimensional general orbits

Cites Work

• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• Some Basic Theorems on Algebraic Groups
• FANO 3-FOLDS. II
• DECOMPOSITION OF CERTAIN BIRATIONAL MORPHISMS
• Maximal algebraic subgroups of the Cremona group of three variables—Imprimitive algebraic subgroups of exceptional type
• On the maximal connected algebraic subgroups of the Cremona group I
• 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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