On the approximation of Kähler manifolds by algebraic varieties

DOI10.1007/s00208-014-1097-4zbMath1328.14060OpenAlexW2004547763MaRDI QIDQ500262

Junyan Cao

Publication date: 1 October 2015

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

Full work available at URL: https://doi.org/10.1007/s00208-014-1097-4

zbMATH Keywords

Kähler manifoldKodaira problemapproximation by projective varietiesseminegative curvaturesemipositive curvature

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Fibrations, degenerations in algebraic geometry (14D06) Minimal model program (Mori theory, extremal rays) (14E30) Moduli, classification: analytic theory; relations with modular forms (14J15) Compact Kähler manifolds: generalizations, classification (32J27) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25) Positive curvature complex manifolds (32Q10) Vanishing theorems (32L20) (n)-folds ((n>4)) (14J40) Negative curvature complex manifolds (32Q05)

Related Items

Moishezon deformations of manifolds in Fujiki class \(\mathcal{C} \), Algebraic approximations of compact Kähler manifolds of algebraic codimension \(1\), Kodaira dimension of algebraic fiber spaces over abelian varieties, Algebraic approximation of Kähler threefolds of Kodaira dimension zero, On the Iitaka conjecture \(C_{n,m}\) for Kähler fibre spaces, Algebraic approximations of fibrations in abelian varieties over a curve, Equivariant Kuranishi family of complex compact manifolds

Cites Work

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