Stability of the tangent bundle of the wonderful compactification of an adjoint group
Documenta mathematica, Tome 18 (2013), pp. 1465-1472.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Let $G$ be a complex linear algebraic group which is simple of adjoint type. Let $\overline G$ be the wonderful compactification of $G$. We prove that the tangent bundle of $\overline G$ is stable with respect to every polarization on $\overline G$.
Classification : 32Q26, 14M27, 14M17
Keywords: wonderful compactification, adjoint group, stability, irreducibility, equivariant bundle
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     author = {Biswas, Indranil and Kannan, S.Senthamarai},
     title = {Stability of the tangent bundle of the wonderful compactification of an adjoint group},
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     year = {2013},
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Biswas, Indranil; Kannan, S.Senthamarai. Stability of the tangent bundle of the wonderful compactification of an adjoint group. Documenta mathematica, Tome 18 (2013), pp. 1465-1472. http://geodesic.mathdoc.fr/item/DOCMA_2013__18__a6/