Calabi-Yau manifolds and a conjecture of Kobayashi

DOI10.1007/BF02571390zbMath0735.14028WikidataQ122898048 ScholiaQ122898048MaRDI QIDQ1814123

Thomas Peternell

Publication date: 25 June 1992

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

Full work available at URL: https://eudml.org/doc/174271

zbMATH Keywords

threefoldnef divisornon ample divisorrational curve on Calabi-Yau manifold

Mathematics Subject Classification ID

(3)-folds (14J30) Divisors, linear systems, invertible sheaves (14C20)

Related Items (8)

Negative holomorphic curvature and positive canonical bundle ⋮ The existence of elliptic fibre space structures on Calabi-Yau threefolds ⋮ Rational curves on fibered Calabi-Yau manifolds ⋮ Ampleness of canonical divisors of hyperbolic normal projective varieties ⋮ Calabi-Yau threefolds with \(\rho > 13\) ⋮ Unnamed Item ⋮ An approach to the abundance conjecture for 3-folds ⋮ Picard number, holomorphic sectional curvature, and ampleness

Cites Work

• Variétés kähleriennes dont la première classe de Chern est nulle
• New examples of threefolds with \(c_ 1=0.\) (With appendix by B. van Geemen)
• Pluricanonical systems on minimal algebraic varieties
• Calabi-Yau manifolds with large Picard number
• Verschwindungssätze für analytische Kohomologiegruppen auf komplexen Räumen
• The components of mK_v for threefolds with x(V) = 0
• Intrinsic distances, measures and geometric function theory
• Calabi's conjecture and some new results in algebraic geometry
• Threefolds whose canonical bundles are not numerically effective
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