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arXiv · 1607.07193

Semiample and k-ample vector bundles

F. Laytimi·W. Nahm
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Abstract

We show that tensor products of semiample vector bundles are semiample. For k-ampleness in the sens of Sommese, we show that over compact complex manifolds tensor products of semiample and k-ample vector bundles are k-ample, and the sum of k-ample vector bundles is k-ample. In particular results of Sommese on k-ampleness are strenghtened.

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F. Laytimi, W. Nahm. 2016-07-25. Semiample and k-ample vector bundles. https://arxiv.org/abs/1607.07193

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