Stability of the tangent bundle of the wonderful compactification of an adjoint group

Indranil Biswas; S.Senthamarai Kannan

doi:10.4171/dm/432

JournalsdmVol. 18pp. 1465–1472

Stability of the tangent bundle of the wonderful compactification of an adjoint group

Indranil Biswas
School of Mathematics Chennai Mathematical Institute Tata Institute of Fundamental H1 SIPCOT IT Park Research Siruseri Homi Bhabha Road Kelambakkam 603103 Bombay 400005 India India
S.Senthamarai Kannan
School of Mathematics Chennai Mathematical Institute Tata Institute of Fundamental H1 SIPCOT IT Park Research Siruseri Homi Bhabha Road Kelambakkam 603103 Bombay 400005 India India

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Abstract

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 $\overline{G}$ .

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Indranil Biswas, S.Senthamarai Kannan, Stability of the tangent bundle of the wonderful compactification of an adjoint group. Doc. Math. 18 (2013), pp. 1465–1472

DOI 10.4171/DM/432