Ample tangent bundle on smooth projective stacks
Algebraic Geometry
2016-11-08 v1
Abstract
We study ample vector bundles on smooth projective stacks. In particular, we prove that the tangent bundle for the weighted projective stack is ample. A result of Mori shows that the only smooth projective varieties with ample vector bundle are isomorphic to for some . Extending our geometric spaces from varieties to projective stacks, we are able to provide a new example. This leaves the open question of knowing if the only smooth projective stacks are the weighted projective stacks.
Cite
@article{arxiv.1611.01809,
title = {Ample tangent bundle on smooth projective stacks},
author = {Karim El Haloui},
journal= {arXiv preprint arXiv:1611.01809},
year = {2016}
}
Comments
13 pages