Pluri-canonical divisors on Kähler manifolds

DOI10.1007/BF01394318zbMath0647.53051MaRDI QIDQ1104575

Marc N. Levine

Publication date: 1983

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143074

zbMATH Keywords

Kähler manifoldcomplex manifoldssmooth deformationpluri-genera

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Analytic sheaves and cohomology groups (32C35) Complex manifolds (32Q99) Deformations of analytic structures (32G99) Proper holomorphic mappings, finiteness theorems (32H35)

Related Items (9)

Quantitative extensions of pluricanonical forms and closed positive currents ⋮ Pluri-canonical divisors on Kähler manifolds. II ⋮ A geometry of Kähler cones ⋮ On canonical singularities as total spaces of deformations ⋮ On the Brody hyperbolicity of moduli spaces for canonically polarized manifolds. ⋮ Boundary asymptotics of the relative Bergman kernel metric for curves ⋮ Two dimensional quotient singularities deform to quotient singularities ⋮ Quasi-projective quotients by compact equivalence relations ⋮ Moduli of polarized Kähler manifolds

Cites Work

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• Complex parallelisable manifolds and their small deformations
• Semicontinuity of L-dimension
• On automorphism groups of compact Kähler manifolds
• Closedness of the Douady spaces of compact Kähler spaces
• On deformations of complex analytic structures. I
• Théoreme de Lefschetz et critères de dégénérescence de suites spectrales

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