A geometric algebraicity property for moduli spaces of compact Kähler manifolds with \(h^{2,0}=1\)

DOI10.1007/BF02570865zbMath0694.32014MaRDI QIDQ909074

Georg Schumacher, Frédéric Campana

Publication date: 1990

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/183762

zbMATH Keywords

Hodge decompositionmoduli spacesGrassmannianalgebraic dimensionMoishezon spaceKähler classbimeromorphic mapfinite maphigher direct image of a sheaf

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Modifications; resolution of singularities (complex-analytic aspects) (32S45) Complex-analytic moduli problems (32G13) Complex Lie groups, group actions on complex spaces (32M05) Complex manifolds (32Q99) Holomorphic bundles and generalizations (32L05) Algebraic dependence theorems (32J10) Complex spaces (32C15)

Related Items (5)

Homotopy types of locally linear representation forms ⋮ Albanese map of special manifolds: a correction ⋮ Semistability and finite maps ⋮ Unnamed Item ⋮ On the Albanese maps of compact Kähler manifolds

Cites Work

• Compact complex manifolds without meromorphic functions

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