Restriction of the Tangent Bundle of G/P to a Hypersurface

被引:0
作者
Biswas, Indranil [1 ]
机构
[1] Tata Inst Fundamental Res, Sch Math, Bombay 400005, Maharashtra, India
来源
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2010年 / 53卷 / 02期
关键词
tangent bundle; homogeneous space; semistability; hypersurface; VECTOR-BUNDLES; THEOREM;
D O I
10.4153/CMB-2010-005-1
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let P be a maximal proper parabolic subgroup of a connected simple linear algebraic group G, defined over C, such that n := dim(C) G/P >= 4. Let iota: Z (sic) G/P be a reduced smooth hypersurface of degree at least (n - 1) . degree(T(G/P))/n. We prove that the restriction of the tangent bundle iota*TG/P is semistable.
引用
收藏
页码:218 / 222
页数:5
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