Proceedings of the Indian Academy of Sciences - Mathematical Sciences

February 1999, 109:23 | Cite as

Torus quotients of homogeneous spaces — II

• Authors
• Authors and affiliations

• S. Senthamarai KannanEmail author

Article

Received: 23 February 1998

Revised: 02 July 1998

Abstract

We classify the homogeneous spacesX for which there is aT linearised ample line bundleL onX such thatX _T ^ss(L)=X_T ^s(L).

Keywords

Torus parabolic subgroups semi-stable points 

This is a preview of subscription content, log in to check access.

References

1. [CSSI]
   Seshadri C S, Quotient spaces modulo reductive algebraic groups,Ann. Math. 95 (1972) 511–556CrossRefMathSciNetGoogle Scholar
2. [GIT]
   Mumford D, Fogarty J and Kirwan F,Geometric Invariant Theory, (Third Edition), Springer-Verlag, Berlin Heidelberg, New YorkGoogle Scholar
3. [C]
   Roger W Carter,Finite groups of Lie type (John Wiley, New York, 1993)Google Scholar
4. [SSK]
   Senthamarai Kannan S, Torus quotients of homogeneous spaces,Proc. Indian Acad. Sci. (Math. Sci.),108 (1998) 1–12MATHMathSciNetCrossRefGoogle Scholar

Copyright information

© Indian Academy of Sciences 1999

Authors and Affiliations

• S. Senthamarai Kannan
  • 1
  Email author

1. 1.SPIC Mathematical InstituteChennaiIndia