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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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