Stability of the tangent bundle of G/P in positive characteristics

Autor: Biswas, Indranil, Chaput, Pierre-Emmanuel, Mourougane, Christophe
Rok vydání: 2015
Předmět:
Zdroj: Algebra and Representation Theory vol 22-issue 1 (2019) 239-247
Druh dokumentu: Working Paper
DOI: 10.1007/s10468-018-9764-x
Popis: Let $G$ be an almost simple simply-connected affine algebraic group over an algebraically closed field $k$ of characteristic $p > 0$. If $G$ has type $B_n$, $C_n$ or $F_4$, we assume that $p > 2$, and if $G$ has type $G_2$, we assume that $p > 3$. Let $P \subset G$ be a parabolic subgroup. We prove that the tangent bundle of $G/P$ is Frobenius stable with respect to the anticanonical polarization on $G/P$.
Databáze: arXiv