Compact quotients of large domains in complex projective space

Finnur Lárusson

Displaying similar documents to “Compact quotients of large domains in complex projective space”

Orbifolds, special varieties and classification theory

Frédéric Campana (2004)

Annales de l’institut Fourier

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This article gives a description, by means of functorial intrinsic fibrations, of the geometric structure (and conjecturally also of the Kobayashi pseudometric, as well as of the arithmetic in the projective case) of compact Kähler manifolds. We first define special manifolds as being the compact Kähler manifolds with no meromorphic map onto an orbifold of general type, the orbifold structure on the base being given by the divisor of multiple fibres. We next show that rationally connected...

On the universal coverings of algebraic surfaces

L. Katzarkov, M. Ramachandran (1998)

Annales scientifiques de l'École Normale Supérieure

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Fibrations of compact Kähler manifolds in terms of cohomological properties of their fundamental groups

Ngaiming Mok (2000)

Annales de l'institut Fourier

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We prove fibration theorems on compact Kähler manifolds with conditions on first cohomology groups of fundamental groups with respect to unitary representations into Hilbert spaces. If the fundamental group T of compact Kähler manifold X violates Property (T) of Kazhdan’s, then $H^{1} (G a m m a, Φ) \neq 0$ for some unitary representation $Φ$ . By our earlier work there exists a $d$ -closed holomorphic 1-form with coefficients twisted by some unitary representation $Φ^{'}$ , possibly non-isomorphic to $Φ$ . Taking norms we obtains...

Moduli for Kodaira surfaces

Ciprian Borcea (1984)

Compositio Mathematica

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Compact Kähler manifolds with hermitian semipositive anticanonical bundle

Jean-Pierre Demailly, Thomas Peternell, Michael Schneider (1996)

Compositio Mathematica

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When does a Bounded Domain Cover a Projective Manifold? (Survey)

Kasparian, Azniv (1997)

Serdica Mathematical Journal

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* The research has been partially supported by Bulgarian Funding Organizations, sponsoring the Algebra Section of the Mathematics Institute, Bulgarian Academy of Sciences, a Contract between the Humboldt Univestit¨at and the University of Sofia, and Grant MM 412 / 94 from the Bulgarian Board of Education and Technology The present survey introduces in some classical properties of the universal coverings of the projective algebraic manifolds. All the results are non-original....