Extension theorems, non-vanishing and the existence of good minimal models

DOI10.1007/s11511-013-0094-xzbMath1278.14022arXiv1012.0493OpenAlexW1998988540WikidataQ104533708 ScholiaQ104533708MaRDI QIDQ362059

Jean-Pierre Demailly, Mihai Paun, Christopher Derek Hacon

Publication date: 20 August 2013

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

Full work available at URL: https://arxiv.org/abs/1012.0493

zbMATH Keywords

extension theoremMMPminimal modelabundance conjecturenonvanishing conjecture

Mathematics Subject Classification ID

Minimal model program (Mori theory, extremal rays) (14E30) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25) (n)-folds ((n>4)) (14J40)

Related Items (30)

Corrigendum to: ``On subadditivity of the logarithmic Kodaira dimension ⋮ On the existence of minimal models for log canonical pairs ⋮ Injectivity Theorems with Multiplier Ideal Sheaves and Their Applications ⋮ On an \(L^2\) extension theorem from log-canonical centres with log-canonical measures ⋮ Numerical analogues of the Kodaira dimension and the abundance conjecture ⋮ On Fujita's log spectrum conjecture ⋮ Extension with log-canonical measures and an improvement to the plt extension of Demailly-Hacon-Păun ⋮ ON THE OPTIMAL EXTENSION THEOREM AND A QUESTION OF OHSAWA ⋮ Strong openness of multiplier ideal sheaves and optimal \(L^{2}\) extension ⋮ On numerical nonvanishing for generalized log canonical pairs ⋮ On the extension of holomorphic adjoint sections from reduced unions of strata of divisors ⋮ Log canonical algebras and modules ⋮ On an injectivity theorem for log-canonical pairs with analytic adjoint ideal sheaves ⋮ Some Kollár-Enoki type injectivity theorems on compact Kähler manifolds ⋮ On the Ohsawa-Takegoshi extension theorem ⋮ Minimal model theory for relatively trivial log canonical pairs ⋮ Uniformisation in dimension four: towards a conjecture of Iitaka ⋮ Recent results in several complex variables and complex geometry ⋮ Varieties fibred over abelian varieties with fibres of log general type ⋮ Gain of regularity in extension problem on convex domains ⋮ Injectivity theorem for pseudo-effective line bundles and its applications ⋮ A Survey on L 2 Extension Problem ⋮ Pushforwards of klt pairs under morphisms to abelian varieties ⋮ On nonvanishing for uniruled log canonical pairs ⋮ Note on quasi-numerically positive log canonical divisors ⋮ Unnamed Item ⋮ An injectivity theorem with multiplier ideal sheaves of singular metrics with transcendental singularities ⋮ A solution of an \(L^{2}\) extension problem with an optimal estimate and applications ⋮ Extension of cohomology classes and holomorphic sections defined on subvarieties ⋮ Log pluricanonical representations and the abundance conjecture

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