Fano manifolds and stability of tangent bundles
arXiv:1912.12617
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.
arXiv comment18 pages
References in corpus (8)
- Existence of good divisors on Mukai varieties
- K-Stability of Fano spherical varieties
- Cohomological characterizations of projective spaces and hyperquadrics
- On linear sections of the spinor tenfold, I
- On stability of tangent bundles of Fano manifolds with b_2=1
- Geometry of horospherical varieties of Picard rank one
- Stability of tangent bundle on the moduli space of stable bundles on a curve
- Del Pezzo foliations with log canonical singularities