Winkelmann J. — The Classification of Three-Dimensional Homogeneous Complex Manifolds :: Электронная библиотека попечительского совета мехмата МГУ

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Winkelmann J. — The Classification of Three-Dimensional Homogeneous Complex Manifolds

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Название: The Classification of Three-Dimensional Homogeneous Complex Manifolds

Автор: Winkelmann J.

Аннотация:

This book provides a classification of all three-dimensional complex manifolds for which there exists a transitive action (by biholomorphic transformations) of a real Lie group. This means two homogeneous complex manifolds are considered equivalent if they are isomorphic as complex manifolds. The classification is based on methods from Lie group theory, complex analysis and algebraic geometry. Basic knowledge in these areas is presupposed.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1995

Количество страниц: 248

Добавлена в каталог: 05.07.2008

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Предметный указатель

$Q_{3}\backslash L$       80
$\mathbb{C}^{2}$ -bundles over $\mathbb{P}_{1}$       58
$\mathbb{C}^{2}\backslash \mathbb{R}^{2}$ -bundles      109
$\mathbb{C}^{2}\backslash \mathbb{R}^{3}$       150
Anticanonical fibration      98
Bounded homogeneous domains      5 10 92 152
Canonical subgroups      87
Closedness conditions for algebraic subgroups      24
Closedness conditions for subgroups      22
Compact homogeneous manifold      38
Complex line reduction      6
Complexification of a Lie group      87
Complexification of a manifold      204
CR-hypersurfaces      124
Discrete subgroups in semisimple groups      2 38
Functions associated to a divisor on $\mathbb{P}_{2}\backslash Q_{1}$       54
Heisenberg group      4 124
Heisenberg group is not a commutator group of a nilpotent group      105
Hopf surfaces      3
Hypersurface separability      6
Ineffectivity      88
Ineffectivity for $H^{+}$ -bundles      90

Kobayashi-pseudometric      6
Left-invariant complex structures      95 205
Line bundle over the affine quadric      65
Line bundles over $\mathbb{P}_{2}\backslash Q_{1}$       53
Line bundles over homogeneous-rational manifolds      51
Line bundles over the affine quadric      52
Maximal holomorphic fibration      10 100
Maximal subgroups in semisimple groups      46
Meromorphic separability      5
Minimality conditions      68
Nilpotent groups      105 172
Nilradical      106
Principal bundles over $\mathbb{P}_{2}(\mathbb{C})\backslash \mathbb{P}_{2}(\mathbb{R})$       195 203
Principal bundles over $\mathbb{P}_{2}(\mathbb{C})\backslash \overline{\mathbb{B}_{2}}$       196 203
Principal bundles over homogeneous-rational manifolds      49
Pseudoconcave manifolds      8
Radical-fibration      25 191
Representations of $SL_{2}(\mathbb{C})$       58
Symmetric domains      5
Vector bundles or rank two over $\mathbb{P}_{1}$       62
Weight spaces      96
Zariski-density of orbits of real forms      87

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