The 𝐿² ∂̄-method, weak Lefschetz theorems, and the topology of Kähler manifolds

DOI10.1090/S0894-0347-98-00257-4zbMath0897.32007arXivalg-geom/9712030OpenAlexW1649146422MaRDI QIDQ4383174

Mohan Ramachandran, Terrence Napier

Publication date: 24 March 1998

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/alg-geom/9712030

zbMATH Keywords

fundamental groupline bundleprojective varietyball quotient

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Homotopy theory and fundamental groups in algebraic geometry (14F35) Complex manifolds (32Q99)

Related Items (17)

Embeddability of some strongly pseudoconvex CR manifolds ⋮ A Survey of Complex Hyperbolic Kleinian Groups ⋮ The Bochner-Hartogs dichotomy for bounded geometry hyperbolic Kähler manifolds ⋮ A factorization theorem for curves with vanishing self-intersection ⋮ A monotonicity formula on complete Kähler manifolds with nonnegative bisectional curvature ⋮ On subvarieties with ample normal bundle ⋮ A cup product lemma for continuous plurisubharmonic functions ⋮ Approximation of holomorphic maps from Runge domains to affine algebraic varieties ⋮ Ample subvarieties and \(q\)-ample divisors ⋮ Monodromy of codimension 1 subfamilies of universal curves ⋮ \(L^2\) -cohomology on the coverings of a compact complex manifold ⋮ Generalized Bergman kernels on symplectic manifolds ⋮ Szegő kernels and Poincaré series ⋮ On the compactification of hyperconcave ends and the theorems of Siu-Yau and Nadel ⋮ Exponential estimate for the asymptotics of Bergman kernels ⋮ KODAIRA DIMENSION OF SUBVARIETIES II ⋮ The geometry of large fundamental groups

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