Strong stability of the homogeneous Levi bundle
スポンサーリンク
概要
- 論文の詳細を見る
Let $G$ be a connected semisimple linear algebraic group defined over an algebraically closed field. Let $P\,\subset\,G$ be a parabolic subgroup without any simple factor, and let $L(P)$ denote the Levi quotient of $P$. In this continuation of \cite{Bi}, we prove that the principal $L(P)$--bundle $(G\times L(P))/P$ over the homogeneous space $G/P$ is stable with respect to any polarization on $G/P$. When the characteristic of the base field is positive, this principal $L(P)$--bundle is shown to be strongly stable with respect to any polarization on $G/P$.
- Graduate School of Mathematical Sciences, The University of Tokyoの論文
- 2008-03-21
Graduate School of Mathematical Sciences, The University of Tokyo | 論文
- On the $\SU$ representation space of the Brieskorn homology spheres
- Massera criterion for linear functional equations in a framework of hyperfunctions
- Twining Character Formula of Borel-Weil-Bott Type
- Classification of log del~Pezzo surfaces of index two
- 2-spheres of square -1 and the geography of genus-2 Lefschetz fibrations