On the invariance and the lower semi-continuity of plurigenera of algebraic varieties

DOI10.1090/S1056-3911-06-00455-3zbMath1113.14028OpenAlexW2165951011MaRDI QIDQ3424124

Shigeharu Takayama

Publication date: 15 February 2007

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1056-3911-06-00455-3

zbMATH Keywords

invariance and semi-continuity of plurigenera

Mathematics Subject Classification ID

Fibrations, degenerations in algebraic geometry (14D06) Families, moduli, classification: algebraic theory (14J10) Divisors, linear systems, invertible sheaves (14C20)

Related Items (11)

Quantitative extensions of pluricanonical forms and closed positive currents ⋮ Singularities of Narasimhan-Simha type metrics on direct images of relative pluricanonical bundles ⋮ Extension theorems, non-vanishing and the existence of good minimal models ⋮ Birational geometry of smooth families of varieties admitting good minimal models ⋮ Families of singular Kähler-Einstein metrics ⋮ On uniruled degenerations of algebraic varieties with trivial canonical divisor ⋮ Relative critical exponents, non-vanishing and metrics with minimal singularities ⋮ Bergman kernels and the pseudoeffectivity of relative canonical bundles ⋮ On the finiteness theorem for rational maps on a variety of general type ⋮ Parametrization of rational maps on a variety of general type, and the finiteness theorem ⋮ Unnamed Item

Cites Work

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• Zariski-decomposition and abundance
• On the extension of L² holomorphic functions V-Effects of generalization
• Deformations of canonical singularities
• Application des techniques $L^2$ à la théorie des idéaux d'une algèbre de fonctions holomorphes avec poids
• Invariance of the plurigenera of algebraic varieties under minimal model conjectures

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