Stabilité du fibré tangent des surfaces de Del Pezzo. (Stability of the tangent bundle of Del Pezzo surfaces)
The author shows: For S a (complex) projective surface with ample anti- canonical bundle, the tangent bundle is semistable with respect to the polarization -K. - For \(S\neq {\mathbb{P}}^ 1\times {\mathbb{P}}^ 1,\quad {\mathbb{P}}^ 2\quad with\) a blown-up point, the tangent bundle is stable with respect to -K. Compare this result with: if \(S_ r{\mathbb{P}}^ 2\) with r blown-up points (3\(\leq r\leq 8)\) admits a Kähler-Einstein metric [conjectured] then \(S_ r\) has a semistable tangent bundle.
stability of the tangent bundle of Dal Pezzo surfaces
scientific article; zbMATH DE number 4099463