doi:10.1007/s00209-015-1471-2
ISI:000358208300031
Chen, Zongbin
The xi-stability on the affine grassmannian
Heidelberg, Springer Heidelberg
We introduce a notion of xi-stability on the affine grassmannian (SIC) for the classical groups, this is the local version of the xi-stability on the moduli space of Higgs bundles on a curve introduced by Chaudouard and Laumon. We prove that the quotient (SIC)(xi)/T of the stable part (SIC)(xi) by the maximal torus T exists as an ind-k-scheme, and we introduce a reduction process analogous to the Harder-Narasimhan reduction for vector bundles over an algebraic curve. For the group , we calculate the Poincar, series of the quotient (SIC)(xi)/T.
2015-09-28T07:50:00Z
http://infoscience.epfl.ch/record/212135
http://infoscience.epfl.ch/record/212135
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