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Vanishing theorems on complex manifolds / Bernard Shiffman, Andrew John Sommèse

Auteur principal : Shiffman, Bernard, AuteurCo-auteur : Sommese, Andrew John, 1948-, AuteurType de document : MonographieCollection : Progress in mathematics, 56Langue : anglais.Pays : Etats Unis.Éditeur : Boston : Birkhauser, 1985Description : 1 vol. (xiii-170 p.) ; 23 cmISBN : 0817632883.ISSN : 0743-1643.Bibliographie : Bibliographie p. 159-170.Sujet MSC : 32L20, Several complex variables and analytic spaces - Holomorphic fiber spaces, Vanishing theorems
32Qxx, Several complex variables and analytic spaces - Complex manifolds
32L10, Several complex variables and analytic spaces - Holomorphic fiber spaces, Sheaves and cohomology of sections of holomorphic vector bundles, general results
14C30, Algebraic geometry - Cycles and subschemes, Transcendental methods, Hodge theory, Hodge conjecture
53C55, Global differential geometry, Global differential geometry of Hermitian and Kählerian manifolds
En-ligne : Numir | Springerlink | Zentralblatt | MathSciNet
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The subject of cohomology vanishing theorems for holomorphic vector bundles on complex manifolds plays an important role in several complex variables and algebraic geometry. The theory began in 1953 with the Kodaira vanishing theorem, but its roots can be traced back to Riemann and Roch for the case of curves and to Picard for surfaces. Although the theory straddles complex analysis and algebraic geometry, this book takes primarily an analytic approach. The authors restrict their attention to compact Kaehler manifolds. (Zentralblatt)

Bibliographie p. 159-170

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