The algebraic dimension of compact complex threefolds with vanishing second Betti number

DOI10.1112/S0010437X19007802zbMath1436.32071WikidataQ104533598 ScholiaQ104533598MaRDI QIDQ5216095

Frédéric Campana, Jean-Pierre Demailly, Thomas Peternell

Publication date: 14 February 2020

Published in: Compositio Mathematica (Search for Journal in Brave)

zbMATH Keywords

algebraic reductionalgebraic dimensioncompact complex threefold

Mathematics Subject Classification ID

Compact complex (3)-folds (32J17) Algebraic dependence theorems (32J10)

Related Items (2)

A note on the nonexistence of a complex threefold as a conjugate orbit of \(G_2\) ⋮ On the nonexistence of \(S^6\) type complex threefolds in any compact homogeneous complex manifolds with the compact Lie group \(G_2\) as the base manifold

Cites Work

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• Classification theory of algebraic varieties and compact complex spaces. Notes written in collaboration with P. Cherenack
• The complex geometry of a hypothetical complex structure on \(S^6\)
• On surfaces of class VII\(_0\)
• Erratum: “Complex structure on the six dimensional sphere from a spontaneous symmetry breaking” [J. Math. Phys. 56, 043508 (2015)]
• Threefolds whose canonical bundles are not numerically effective

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