Vanishing theorems for singular varieties

Oh, Kyungho

doi:10.1090/S0002-9939-1993-1163335-X

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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Vanishing theorems for singular varieties
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Proc. Amer. Math. Soc. 119 (1993), 11-14 Request permission

Abstract:

We give generalizations of Ramanujam’s version of the Kodaira Vanishing Theorem to singular varieties.

References

Hans Grauert and Oswald Riemenschneider, Verschwindungssätze für analytische Kohomologiegruppen auf komplexen Räumen, Invent. Math. 11 (1970), 263–292 (German). MR 302938, DOI 10.1007/BF01403182
Robin Hartshorne, Algebraic geometry, Graduate Texts in Mathematics, No. 52, Springer-Verlag, New York-Heidelberg, 1977. MR 0463157

Toroidal embeddings

C. P. Ramanujam, Remarks on the Kodaira vanishing theorem, J. Indian Math. Soc. (N.S.) 36 (1972), 41–51. MR 330164