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A generalization of Kodaira-Ramanujam’s vanishing theorem. (English) Zbl 0476.14007

MSC:
14C35 Applications of methods of algebraic \(K\)-theory in algebraic geometry
32L20 Vanishing theorems
14C20 Divisors, linear systems, invertible sheaves
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References:
[1] Kawamata, Y.: On the cohomology of ?-divisors. Proc. Japan. Acad.56 A, 34-35 (1980) · Zbl 0443.14011
[2] Kawamata, Y.: Characterization of abelian varieties. Compositio Math.43, 253-276 (1981) · Zbl 0471.14022
[3] Norimatsu, Y.: Kodaira vanishing theorem and Chern classes for ?-manifolds. Proc. Japan. Acad.54 A, 107-108 (1978) · Zbl 0433.32013
[4] Ramanujam, C.P.: Supplement to the article ?Remarks on the Kodaira vanishing theorem?. J. Indian Math. Soc.38, 121-124 (1974) · Zbl 0368.14005
[5] E. Viehweg: Vanishing theorems (to appear in J. Reine Angew. Math.) · Zbl 0485.32019
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