English

Semiample and k-ample vector bundles

Algebraic Geometry 2016-07-26 v1

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.

Keywords

Cite

@article{arxiv.1607.07193,
  title  = {Semiample and k-ample vector bundles},
  author = {F. Laytimi and W. Nahm},
  journal= {arXiv preprint arXiv:1607.07193},
  year   = {2016}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1211.6281

R2 v1 2026-06-22T15:03:13.090Z