On the maximal connected algebraic subgroups of the Cremona group I

DOI10.1017/S0027763000020183zbMath0476.14004MaRDI QIDQ3933099

Hiroshi Umemura

Publication date: 1982

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

zbMATH Keywords

Cremona groupclassification of de Jonquieres type groups

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Birational automorphisms, Cremona group and generalizations (14E07) Classical groups (algebro-geometric aspects) (14L35) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Low codimension problems in algebraic geometry (14M07)

Related Items (9)

Subgroups of elliptic elements of the Cremona group ⋮ On homomorphisms between Cremona groups ⋮ 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 ⋮ Borel subgroups of the plane Cremona group

Cites Work

• Equivariant completion
• Some Basic Theorems on Algebraic Groups
• 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 Algebraic Groups of Transformations

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