Quantitative extensions of pluricanonical forms and closed positive currents

DOI10.1215/00277630-1543778zbMath1248.32012arXiv1002.4537OpenAlexW2129474118MaRDI QIDQ2880836

Bo Berndtsson, Mihai Paun

Publication date: 17 April 2012

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.4537

zbMATH Keywords

extension theorempluricanonical formtwisted pluricanonical form

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Variation of Hodge structures (algebro-geometric aspects) (14D07) Birational geometry (14E99)

Related Items (17)

Fiberwise Kähler-Ricci flows on families of bounded strongly pseudoconvex domains ⋮ ALGEBRAIC FIBER SPACES AND CURVATURE OF HIGHER DIRECT IMAGES ⋮ Extension theorems, non-vanishing and the existence of good minimal models ⋮ Holomorphic families of strongly pseudoconvex domains in a Kähler manifold ⋮ Foliations with positive slopes and birational stability of orbifold cotangent bundles ⋮ Minimal Models of Semi-log-canonical Pairs ⋮ Potential theory on an analytic surface ⋮ On the birational automorphisms of varieties of general type ⋮ Variation of singular Kähler-Einstein metrics: positive Kodaira dimension ⋮ Kodaira dimension of algebraic fiber spaces over abelian varieties ⋮ A Survey on L 2 Extension Problem ⋮ Families of conic Kähler-Einstein metrics ⋮ Orbifold generic semi-positivity: an application to families of canonically polarized manifolds ⋮ Boundary asymptotics of the relative Bergman kernel metric for curves ⋮ Unnamed Item ⋮ Positivity of twisted relative pluricanonical bundles and their direct images ⋮ Positivity of vector bundles and Hodge theory

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