2-cocycles and Azumaya algebras under birational transformations of algebraic schemes
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F. A. Bogomolov, A. N. Landia (1990)
Compositio Mathematica
Jean-Pierre Demailly (2011)
Annales de la faculté des sciences de Toulouse Mathématiques
The goal of this paper is to show that there are strong relations between certain Monge-Ampère integrals appearing in holomorphic Morse inequalities, and asymptotic cohomology estimates for tensor powers of holomorphic line bundles. Especially, we prove that these relations hold without restriction for projective surfaces, and in the special case of the volume, i.e. of asymptotic -cohomology, for all projective manifolds. These results can be seen as a partial converse to the Andreotti-Grauert...
Yoshihiro Koya (1990)
Inventiones mathematicae
Allen B. Altman, Raymond T. Hoobler, Steven L. Kleiman (1973)
Compositio Mathematica
Hélène Esnault (1990)
Journal für die reine und angewandte Mathematik
Hélène Esnault (1990)
Mathematische Annalen
Shoji Yokura (1998)
Banach Center Publications
Mathias Peternell (1990)
Mathematische Annalen
Eric M. Friedlander (1991)
Compositio Mathematica
Mark Green, Stefan Müller-Stach (1996)
Compositio Mathematica
Robin Hartshorne (1972)
Manuscripta mathematica
A. Douady, L. Hérault (1973)
Commentarii mathematici Helvetici
C. Hermoso, I. Sols (1996)
Revista Matemática de la Universidad Complutense de Madrid
We find two basis of the spaces of rational homology of the Hilbert scheme of points in an algebraic surface, by exhibiting two candidates having as cardinalities the known Betti numbers of this scheme and showing that both intersect in a matrix of nonzero determinant.
Neantro Saavedra Rivano (1972)
Bulletin de la Société Mathématique de France
J.-M. Drezet (1988)
Mathematische Annalen
Marc Bachmakov (1969/1970)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
Michel Brion (1991)
Journal für die reine und angewandte Mathematik
Abraham S.-T. Lue (1971)
Mathematische Zeitschrift
Robin Hartshorne (1971)
Mathematische Annalen
A. Borel, J-P. Serre (1973)
Commentarii mathematici Helvetici
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