Generation by sections and $k$-ampleness
Algebraic Geometry
2016-07-25 v1
Abstract
In the article "Submanifold of abelian varieties", A.J. Sommese proved that direct sum and tensor product of two vector bundles and over a smooth projective variety are -ample if and are -ample and are generated by global sections. Here we show that the latter condition is not needed.
Cite
@article{arxiv.1211.6281,
title = {Generation by sections and $k$-ampleness},
author = {Werner Nahm and Fatima Laytimi},
journal= {arXiv preprint arXiv:1211.6281},
year = {2016}
}
Comments
8 pages