Comptes Rendus
no. 9
Group theory/Algebraic geometry
Automorphisms of T‾
Presented by: Claire Voisin
Indranil Biswas1; Subramaniam Senthamarai Kannan2; Donihakalu Shankar Nagaraj3
1School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India
2Chennai Mathematical Institute, H1, SIPCOT IT Park, Siruseri, Kelambakkam 603103, India
3The Institute of Mathematical Sciences, CIT Campus, Taramani, Chennai 600113, India
Comptes Rendus. Mathématique, Volume 353 (2015) no. 9, pp. 785-787

Let G‾ be the wonderful compactification of a simple affine algebraic group G defined over C such that its center is trivial and G≠PSL(2,C). Take a maximal torus T⊂G, and denote by T‾ its closure in G‾. We prove that T coincides with the connected component, containing the identity element, of the group of automorphisms of the variety T‾.

Soit G‾ la compactification magnifique d'un groupe algébrique affine G défini sur C, dont le centre est trivial et tel que G≠PSL(2,C). Soit T⊂G un tore maximal, et soit T‾ son adhérence dans G‾. Nous montrons que T est égal à la composante connexe contenant l'élément neutre du groupe d'automorphismes de la variété T‾.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2015.06.006

Indranil Biswas  1 ; Subramaniam Senthamarai Kannan  2 ; Donihakalu Shankar Nagaraj  3

1 School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India
2 Chennai Mathematical Institute, H1, SIPCOT IT Park, Siruseri, Kelambakkam 603103, India
3 The Institute of Mathematical Sciences, CIT Campus, Taramani, Chennai 600113, India 
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Indranil Biswas; Subramaniam Senthamarai Kannan; Donihakalu Shankar Nagaraj. Automorphisms of $ \stackrel{‾}{T}$. Comptes Rendus. Mathématique, Volume 353 (2015) no. 9, pp. 785-787. doi: 10.1016/j.crma.2015.06.006

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