\(L^2\) adjoint linear systems
type: Item
instance of: scholarly article
title: \(L^2\) adjoint linear systems
zbMATH Open document ID: 0923.14004
author: Philippe Eyssidieux
publication date: 1999-05-16T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/75331
Mathematics Subject Classification ID: 14C20
Mathematics Subject Classification ID: 14F35
Mathematics Subject Classification ID: 32L10
Mathematics Subject Classification ID: 32L20
Mathematics Subject Classification ID: 14E20
Mathematics Subject Classification ID: 32J25
zbMATH DE Number: 1287517
zbMATH Keywords: \(L^2\) index theorem
zbMATH Keywords: Nadel's vanishing theorem
zbMATH Keywords: adjoint bundle
zbMATH Keywords: adjoint linear systems
zbMATH Keywords: coherent sheaves
zbMATH Keywords: Shafarevich map
zbMATH Keywords: fundamental group
MaRDI profile type: Publication
OpenAlex ID: W2316360995
cites work: Effective freeness and point separation for adjoint bundles
cites work: Q4086472
cites work: Q4002484
cites work: Remarques sur le revêtement universel des variétés kählériennes compactes
cites work: Q4838948
cites work: Q2785953
cites work: Estimations $\mathrm{L}^2$ pour l'opérateur $\bar \partial$ d'un fibré vectoriel holomorphe semi-positif au-dessus d'une variété kählérienne complète
cites work: La caractéristiqe d'Euler du complexe de Gauss-Manin.
cites work: Von Neumann invariants of coherent analytic sheaves
cites work: Homological algebra of Novikov-Shubin invariants and Morse inequalities
cites work: Q3322387
cites work: Q4143433
cites work: Resolution of singularities of an algebraic variety over a field of characteristic zero. I
cites work: Deformation theory, generic vanishing theorems, and some conjectures of Enriques, Catanese and Beauville
cites work: Kähler hyperbolicity and \(L_ 2\)-Hodge theory
cites work: Holomorphic \(L^2\) functions on coverings of pseudoconvex manifolds
cites work: Q4065667
cites work: Q4847164
cites work: Shafarevich maps and plurigenera of algebraic varieties
cites work: Q4872652
cites work: Sous-ensembles analytiques d'ordre fini ou infini dans $C^n$
cites work: Q4699495
cites work: Q3874718
DOI: 10.5802/AIF.1670
Recommended article: Q4880391
Recommended article: Q4294670
Recommended article: A note on adjoint linear systems
Recommended article: Q4944265
Recommended article: ADJOINT LINEAR SYSTEMS ON ALGEBRAIC SURFACES
Recommended article: Q4846311
Recommended article: The adjoint problem for coupled linear operators
Recommended article: Existence and Generic Properties of L2 Approximants for Linear Systems
Recommended article: Q4699487
published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 1287517