Geodesic
Restriction of the Tangent Bundle of G/P to a Hypersurface
Canadian mathematical bulletin, Tome 53 (2010) no. 2, pp. 218-222

Voir la notice de l'article provenant de la source Cambridge

DOI

Let $P$ be a maximal proper parabolic subgroup of a connected simple linear algebraic group $G$ , defined over $\mathbb{C}$ , such that $n\,:=\,{{\dim}_{\mathbb{C}}}\,G/P\,\ge \,4$ . Let $\iota :\,Z\,\to \,G/P$ be a reduced smooth hypersurface of degree at least $\left( n\,-\,1 \right)\,.\,\deg \text{ree}\left( T\left( G/P \right) \right)/n$ . We prove that the restriction of the tangent bundle ${{\iota }^{*}}\,TG/P$ is semistable.
DOI : 10.4153/CMB-2010-005-1
Mots-clés : 14F05, 14J60, 14M15, tangent bundle, homogeneous space, semistability, hypersurface 
Biswas, Indranil. Restriction of the Tangent Bundle of G/P to a Hypersurface. Canadian mathematical bulletin, Tome 53 (2010) no. 2, pp. 218-222. doi: 10.4153/CMB-2010-005-1
@article{10_4153_CMB_2010_005_1,
     author = {Biswas, Indranil},
     title = {Restriction of the {Tangent} {Bundle} of {G/P} to a {Hypersurface}},
     journal = {Canadian mathematical bulletin},
     pages = {218--222},
     year = {2010},
     volume = {53},
     number = {2},
     doi = {10.4153/CMB-2010-005-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-005-1/}
}
TY  - JOUR
AU  - Biswas, Indranil
TI  - Restriction of the Tangent Bundle of G/P to a Hypersurface
JO  - Canadian mathematical bulletin
PY  - 2010
SP  - 218
EP  - 222
VL  - 53
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-005-1/
DO  - 10.4153/CMB-2010-005-1
ID  - 10_4153_CMB_2010_005_1
ER  - 
%0 Journal Article
%A Biswas, Indranil
%T Restriction of the Tangent Bundle of G/P to a Hypersurface
%J Canadian mathematical bulletin
%D 2010
%P 218-222
%V 53
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-005-1/
%R 10.4153/CMB-2010-005-1
%F 10_4153_CMB_2010_005_1

Cité par Sources :