Anti-ample bundle, nef vector bundle, big vector bundle
Algebraic Geometry
2024-07-02 v1
Abstract
We prove that the direct image of an anti-ample vector bundle is anti-ample under any finite flat morphism of non-singular projective varieties. In the second part we prove some properties of big and nef vector bundles. In particular it is shown that the tensor product of a nef vector bundle with a nef and big vector bundle is again nef and big. This generalizes a result of Schneider.
Cite
@article{arxiv.2407.01151,
title = {Anti-ample bundle, nef vector bundle, big vector bundle},
author = {Indranil Biswas and Fatima Laytimi and D. S. Nagaraj and Werner Nahm},
journal= {arXiv preprint arXiv:2407.01151},
year = {2024}
}
Comments
7 pages. To be published in Journal of Geometry and Physics