On compact Kähler surfaces

DOI10.5802/aif.1674zbMath0926.32025OpenAlexW2331306339MaRDI QIDQ1288637

Publication date: 16 May 1999

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1999__49_1_287_0

zbMATH Keywords

Kähler metric compact complex surfaces positive current Nakai criterion

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Moduli, classification: analytic theory; relations with modular forms (14J15) Compact complex surfaces (32J15) Compact Kähler manifolds: generalizations, classification (32J27) Integration on analytic sets and spaces, currents (32C30)

Related Items

Symplectic tori in rational elliptic surfaces, The J-flow and stability, On a class of fully nonlinear elliptic equations on closed Hermitian manifolds, ON THE VOLUME OF A LINE BUNDLE, Algebraic deformations of compact Kähler surfaces, Complex geometry of moment-angle manifolds, Energy and invariant measures for birational surface maps, The Chern-Ricci flow, Compact Kähler manifolds with no projective specialization, Bott-Chern and \(\bar{\partial}\) harmonic forms on almost Hermitian 4-manifolds, Regularity results for pluriclosed flow, The Gromov width of 4-dimensional tori, Existence of HKT metrics on hypercomplex manifolds of real dimension 8, The complex Monge-Ampère type equation on compact Hermitian manifolds and applications, On tamed almost complex four-manifolds, Simply connected Voisin manifolds of dimension four, Hessian equations of Krylov type on Kähler manifolds, Twisted differentials and Lee classes of locally conformally symplectic complex surfaces, Hermitian ranks of compact complex manifolds, Analysis, geometry and topology of positive scalar curvature metrics. Abstracts from the workshop held June 27 -- July 3, 2021 (hybrid meeting), Note on Dolbeault cohomology and Hodge structures up to bimeromorphisms, Deformation limits of projective manifolds: Hodge numbers and strongly Gauduchon metrics, The energy of a Kähler class on admissible manifolds, Constant scalar curvature metrics on Hirzebruch surfaces, On a question of Vaisman concerning complex surfaces, On the stability of compact pseudo-Kähler and neutral Calabi-Yau manifolds, The Yamabe invariants of Inoue surfaces, Kodaira surfaces, and their blowups, Fibrations and fundamental groups of Kähler–Weyl manifolds, Pluriclosed Flow and the Geometrization of Complex Surfaces, Mini-workshop: Almost complex geometry. Abstracts from the mini-workshop held October 4--10, 2020 (online meeting), Compact lcK manifolds with parallel vector fields, On cohomology of almost complex 4-manifolds, On non-Kähler degrees of complex manifolds, The heredity and bimeromorphic invariance of the \(\partial\bar{\partial}\)-lemma property, Some results on the Hard Lefschetz Condition, Generalized Kähler manifolds, commuting complex structures, and split tangent bundles, ON NORMAL CONTACT PAIRS, Generalized Kähler-Ricci flow and the classification of nondegenerate generalized Kähler surfaces, KAWA lecture notes on the K\"ahler-Ricci flow, On the convergence and singularities of the J‐Flow with applications to the Mabuchi energy, Three-manifolds and Kähler groups, Ricci-flat metrics and dynamics on \(K3\) surfaces, The dynamics of the energy of a Kähler class, Parabolic complex Monge-Ampère type equations on closed Hermitian manifolds, On Bott-Chern cohomology of compact complex surfaces, Distinguished line bundles for complex surface automorphisms, Pluriclosed flow, Born-Infeld geometry, and rigidity results for generalized Kähler manifolds, Weak transcendental holomorphic Morse inequalities on compact Kähler manifolds, Geometric formalities Along the Chern-Ricci flow, Plurisubharmonic functions and nef classes on complex manifolds, A Nakai-Moishezon criterion for non-Kähler surfaces, Classification of non-Kähler surfaces and locally conformally Kähler geometry, Deformation limit and bimeromorphic embedding of Moishezon manifolds, The Chern–Ricci flow on complex surfaces

Cites Work