Toric vector bundles on Bott tower
Algebraic Geometry
2019-04-09 v2
Abstract
In this paper, using Klyachko's classification theorem we study positivity and semi-stability of toric vector bundles on a class of nonsingular projective toric varieties, known as Bott towers. In particular, we give a criterion of -jet ampleness of line bundles and characterize nef and big line bundles on Bott towers using Bott numbers. We obtain a criterion for the ampleness of discriminant zero semi-stable toric vector bundles on nonsingular projective varieties. We also describe toric subbundles of toric vector bundles on nonsingular toric varieties.
Cite
@article{arxiv.1802.08803,
title = {Toric vector bundles on Bott tower},
author = {Bivas Khan and Jyoti Dasgupta},
journal= {arXiv preprint arXiv:1802.08803},
year = {2019}
}
Comments
18 pages, Corrected some errors in the previous version, accepted for publication in Bulletin des Sciences Mathematiques