Algebraic reductions of complex varieties and complex manifolds of algebraic dimension zero

1975 ◽  
pp. 141-171
Author(s):  
Kenji Ueno
Keyword(s):  
Complex Manifolds ◽  
Algebraic Dimension ◽  
Dimension Zero ◽  
Complex Varieties ◽  
Algebraic Reductions

scholarly journals Affine Connections on Complex Manifolds of Algebraic Dimension Zero

2016 ◽  
Vol 16 (4) ◽  
pp. 675-689
Author(s):  
Sorin Dumitrescu ◽  
Benjamin McKay
Keyword(s):  
Complex Manifolds ◽  
Affine Connections ◽  
Algebraic Dimension ◽  
Dimension Zero

scholarly journals CARTAN GEOMETRIES ON COMPLEX MANIFOLDS OF ALGEBRAIC DIMENSION ZERO

2019 ◽  
Vol Volume 3 ◽  
Author(s):  
Indranil Biswas ◽  
Sorin Dumitrescu ◽  
Benjamin McKay
Keyword(s):  
Complex Manifolds ◽  
Cartan Geometry ◽  
Algebraic Dimension ◽  
Dimension Zero ◽  
Special Cases ◽  
Nous Montrons ◽  
Cartan Geometries ◽  
International Audience ◽  
Holomorphic Affine ◽  
Compact Complex Manifolds

International audience We show that compact complex manifolds of algebraic dimension zero bearing a holomorphic Cartan geometry of algebraic type have infinite fundamental group. This generalizes the main Theorem in [DM] where the same result was proved for the special cases of holomorphic affine connections and holomorphic conformal structures. Nous montrons que toute variété complexe compacte de dimension algébrique nulle possédant une géométrie de Cartan holomorphe de type algébrique doit avoir un groupe fondamental infini. Il s’agit d’une généralisation du théorème principal de [DM] où le même résultat était montré dans le cas particulier des connexions affines holomorphes et des structures conformes holomorphes.

scholarly journals Schottky groups acting on homogeneous rational manifolds

2019 ◽  
Vol 2019 (753) ◽  
pp. 23-56 ◽  
Author(s):  
Christian Miebach ◽  
Karl Oeljeklaus
Keyword(s):  
Deformation Theory ◽  
Group Actions ◽  
Picard Group ◽  
Schottky Group ◽  
Fundamental Groups ◽  
Complex Manifolds ◽  
Schottky Groups ◽  
Algebraic Dimension ◽  
Geometric Invariants ◽  
Compact Complex Manifolds

AbstractWe systematically study Schottky group actions on homogeneous rational manifolds and find two new families besides those given by Nori’s well-known construction. This yields new examples of non-Kähler compact complex manifolds having free fundamental groups. We then investigate their analytic and geometric invariants such as the Kodaira and algebraic dimension, the Picard group and the deformation theory, thus extending results due to Lárusson and to Seade and Verjovsky. As a byproduct, we see that the Schottky construction allows to recover examples of equivariant compactifications of {{\rm{SL}}(2,\mathbb{C})/\Gamma} for Γ a discrete free loxodromic subgroup of {{\rm{SL}}(2,\mathbb{C})}, previously obtained by A. Guillot.

scholarly journals Non-upper-semicontinuity of algebraic dimension for families of compact complex manifolds

2010 ◽  
Vol 348 (3) ◽  
pp. 593-599
Author(s):  
Akira Fujiki ◽  
Massimiliano Pontecorvo
Keyword(s):  
Upper Semicontinuity ◽  
Complex Manifolds ◽  
Algebraic Dimension ◽  
Compact Complex Manifolds

Twistor examples of algebraic dimension zero threefolds

1991 ◽  
Vol 103 (1) ◽  
pp. 537-545 ◽  
Author(s):  
M. Ville
Keyword(s):  
Algebraic Dimension ◽  
Dimension Zero

scholarly journals ON THE ALGEBRAIC DIMENSION OF BANACH SPACES OVER NON-ARCHIMEDEAN VALUED FIELDS OR ARBITRARY RANK

2007 ◽  
Vol 26 (3) ◽  
Author(s):  
HERMINIA OCHSENIUS ◽  
W. H. SCHIKHOF
Keyword(s):  
Banach Spaces ◽  
Valued Fields ◽  
Algebraic Dimension ◽  
Arbitrary Rank

A characterization of complex manifolds biholomorphic to a circular domain

1985 ◽  
Vol 189 (3) ◽  
pp. 343-363 ◽  
Author(s):  
Giorgio Patrizio
Keyword(s):  
Circular Domain ◽  
Complex Manifolds

scholarly journals On contact structures of real and complex manifolds

1963 ◽  
Vol 15 (3) ◽  
pp. 227-252 ◽  
Author(s):  
Seizi Takizawa
Keyword(s):  
Contact Structures ◽  
Complex Manifolds
Sign in / Sign up

Export Citation Format

Share Document