Akihiro Kanemitsu
Published 2019-12-29Version 1
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.
Fano manifolds of degree ten and EPW sextics
Rational curves and bounds on the Picard number of Fano manifolds
A valuative criterion for uniform K-stability of $\mathbb{Q}$-Fano varieties
![QR code for arXiv:1912.12617 [math.AG]](http://oss.arxitics.com/images/favicon.svg)