Fano manifolds and stability of tangent bundles
Algebraic Geometry
2020-01-01 v1
Abstract
We determine the stability/instability of the tangent bundles of the Fano varieties in a certain class of two orbit varieties, which are classified by Pasquier in 2009. As a consequence, we show that some of these varieties admit unstable tangent bundles, which disproves a conjecture on stability of tangent bundles of Fano manifolds.
Cite
@article{arxiv.1912.12617,
title = {Fano manifolds and stability of tangent bundles},
author = {Akihiro Kanemitsu},
journal= {arXiv preprint arXiv:1912.12617},
year = {2020}
}
Comments
18 pages