Stability of the tangent bundle of the wonderful compactification of an adjoint group

Abstract

Let $G$ be a complex linear algebraic group which is simple of adjoint type. Let $\overline{G}$ be the wonderful compactification of $G$. We prove that the tangent bundle of $\overline{G}$ is stable with respect to every polarization on $\overline{G}$.

arXiv commentFinal version; to appear in Documenta Mathematica