Andreotti-Grauert theory by integral formulas. (Licensed ed. of the Akademie Verlag, Berlin) (Q1210852)
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scientific article; zbMATH DE number 193780
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Andreotti-Grauert theory by integral formulas. (Licensed ed. of the Akademie Verlag, Berlin) |
scientific article; zbMATH DE number 193780 |
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Andreotti-Grauert theory by integral formulas. (Licensed ed. of the Akademie Verlag, Berlin) (English)
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5 June 1993
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Andreotti-Grauert theory
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cohomology of q-convex and q-concave manifolds
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explicith member of M as explicitly as possible (\({\mathcal M}\) is a quotient of a homogeneous manifold by a discrete group, but the action may be bad and \({\mathcal M}\) may have no analytic structure). The author studies and classifies also rational endomorphism rings of T. The pair (T,G) is called special if the complex representation factors through \(SL_ 2({\mathbb{C}})\). Such pairs are studied more in detail. The lattice structure of \(H^ 2(T
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{\mathbb{Z}})\) is studied and several interesting relations are given. For example, a necessary and sufficient condition for a singular abelian surface T to admit a special action of a given group G is given in terms of the Neron-Severi lattice of T
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