Strong stability of the homogeneous Levi bundle

Journal of Mathematical Sciences

Biswas, Indranil¹ 

关键词: Strongly stable bundle;    homogeneous space;    Levi quotient;   

DOI  :  

学科分类：数学（综合）

来源: University of Tokyo * Department of Mathematical Sciences

【 摘 要 】

Let$G$beaconnectedsemisimplelinearalgebraicgroupdefinedoveranalgebraicallyclosedfield.Let$P,subset,G$beaparabolicsubgroupwithoutanysimplefactor,andlet$L(P)$denotetheLeviquotientof$P$.Inthiscontinuationofcite{Bi},weprovethattheprincipal$L(P)$--bundle$(GimesL(P))/P$overthehomogeneousspace$G/P$isstablewithrespecttoanypolarizationon$G/P$.Whenthecharacteristicofthebasefieldispositive,thisprincipal$L(P)$--bundleisshowntobestronglystablewithrespecttoanypolarizationon$G/P$.

【 授权许可】

Unknown