Andreotti-Grauert theory by integral formulas. (Licensed ed. of the Akademie Verlag, Berlin)
type: Item
instance of: scholarly article
title: Andreotti-Grauert theory by integral formulas. (Licensed ed. of the Akademie Verlag, Berlin)
zbMATH Open document ID: 0654.32002
author: Gennadi Henkin
author: Jürgen Leiterer
published in: Progress in Mathematics
publication date: 1993-06-05T00:00:00Z
Mathematics Subject Classification ID: 32-02
Mathematics Subject Classification ID: 32A25
Mathematics Subject Classification ID: 32F10
Mathematics Subject Classification ID: 32W05
zbMATH DE Number: 193780
zbMATH Keywords: Andreotti-Grauert theory
zbMATH Keywords: cohomology of q-convex and q-concave manifolds
zbMATH Keywords: 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 \(H^ 2(T
zbMATH Keywords: {\mathbb{Z}})\) 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
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 193780