Semiample and k-ample vector bundles
F. Laytimi, W. Nahm
TL;DR
This paper investigates properties of semiample and k-ample vector bundles, demonstrating that tensor products and sums preserve k-ampleness, thereby strengthening existing results in complex geometry.
Contribution
It proves that tensor products of semiample vector bundles are semiample and that tensor sums of semiample and k-ample bundles are k-ample, extending Sommese's results.
Findings
Tensor products of semiample bundles are semiample.
Tensor products of semiample and k-ample bundles are k-ample.
Sum of k-ample bundles is k-ample.
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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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory · Geometry and complex manifolds