\(L^2\) adjoint linear systems
DOI10.5802/aif.1670zbMath0923.14004OpenAlexW2316360995MaRDI QIDQ1288632
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_141_0
fundamental groupadjoint bundlecoherent sheavesadjoint linear systemsShafarevich map\(L^2\) index theoremNadel's vanishing theorem
Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Divisors, linear systems, invertible sheaves (14C20) Homotopy theory and fundamental groups in algebraic geometry (14F35) Coverings in algebraic geometry (14E20) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25) Vanishing theorems (32L20)
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- Deformation theory, generic vanishing theorems, and some conjectures of Enriques, Catanese and Beauville
- Holomorphic \(L^2\) functions on coverings of pseudoconvex manifolds
- Shafarevich maps and plurigenera of algebraic varieties
- Von Neumann invariants of coherent analytic sheaves
- Effective freeness and point separation for adjoint bundles
- Homological algebra of Novikov-Shubin invariants and Morse inequalities
- Resolution of singularities of an algebraic variety over a field of characteristic zero. I
- Kähler hyperbolicity and \(L_ 2\)-Hodge theory
- Remarques sur le revêtement universel des variétés kählériennes compactes
- La caractéristiqe d'Euler du complexe de Gauss-Manin.
- Estimations $\mathrm{L}^2$ pour l'opérateur $\bar \partial$ d'un fibré vectoriel holomorphe semi-positif au-dessus d'une variété kählérienne complète
- Sous-ensembles analytiques d'ordre fini ou infini dans $C^n$