Sur les sous-groupes algebriques primitifs du groupe de cremona a trois variables

DOI10.1017/S0027763000018924zbMath0412.14007MaRDI QIDQ4200301

Hiroshi Umemura

Publication date: 1980

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

zbMATH Keywords

Cremona groupanalytic invariant foliationlocal Lie algebra operationsmaximal algebraic subgroupsoperation of an algebraic group G on a variety

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Birational automorphisms, Cremona group and generalizations (14E07) Group actions on varieties or schemes (quotients) (14L30) Lie algebras of Lie groups (22E60) Low codimension problems in algebraic geometry (14M07)

Related Items

Birational automorphism groups and differential equations ⋮ Regular actions of simple algebraic groups on projective threefolds ⋮ Minimal rational threefolds II ⋮ Mathematical works of Hiroshi Umemura ⋮ Connected algebraic subgroups of groups of birational transformations not contained in a maximal one ⋮ Some properties of the group of birational maps generated by the automorphisms of \(\mathbb P^n_{\mathbb C}\) and the standard involution ⋮ Equivariant minimal model program ⋮ Algebraic subgroups of the Cremona group ⋮ Maximal algebraic subgroups of the Cremona group of three variables—Imprimitive algebraic subgroups of exceptional type ⋮ Projective threefolds on which $\mathbf {SL}(2)$ acts with 2-dimensional general orbits ⋮ On the maximal connected algebraic subgroups of the Cremona group I ⋮ Morphisms between Cremona groups, and characterization of rational varieties

Cites Work

• Some Basic Theorems on Algebraic Groups
• On Algebraic Groups of Transformations
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