Nagoya Mathematical Journal

A vanishing theorem

F. Laytimi and W. Nahm

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The main result is a general vanishing theorem for the Dolbeault cohomology of an ample vector bundle obtained as a tensor product of exterior powers of some vector bundles. It is also shown that the conditions for the vanishing given by this theorem are optimal for some parameter values.

Article information

Nagoya Math. J., Volume 180 (2005), 35-43.

First available in Project Euclid: 14 December 2005

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 14F17: Vanishing theorems [See also 32L20]


Laytimi, F.; Nahm, W. A vanishing theorem. Nagoya Math. J. 180 (2005), 35--43.

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