RESTRICTION OF TANGENT BUNDLE AND SEMISTABILITY

被引:0
|
作者
Biswas, Indranil [1 ]
Dey, Arijit [1 ]
机构
[1] Tata Inst Fundamental Res, Sch Math, Bombay 400005, Maharashtra, India
关键词
Complete intersection; Rational homogeneous space; Tangent bundle; Semistability; FLAG;
D O I
10.1080/00927872.2010.488676
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let G be a simple linear algebraic group defined over C and P. G a maximal proper parabolic subgroup such that m := dim(C) G/P >= 5. Let t : Z(1) boolean AND Z(2) hooked right arrow G/P be a smooth complete intersection such that degree (Z(i)) >= (m-1) . index (G/P)/m, i = 1 , 2. Then the vector bundle i* T(G/P) -> Z(1) boolean AND Z(2) is semistable.
引用
收藏
页码:3063 / 3072
页数:10
相关论文
共 50 条
  • [41] Extending Tangent Bundles by an Algebra Bundle
    Feizabadi, Hassan
    Boroojerdian, Naser
    IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2018, 42 (A2): : 615 - 621
  • [42] Foliations on the tangent bundle of Finsler manifolds
    PEYGHAN Esmaeil
    TAYEBI Akbar
    ScienceChina(Mathematics), 2012, 55 (03) : 647 - 662
  • [43] On the Tangent Bundle of a Hypersurface in a Riemannian Manifold
    Hou, Zhonghua
    Sun, Lei
    CHINESE ANNALS OF MATHEMATICS SERIES B, 2015, 36 (04) : 579 - 602
  • [44] A remarkable transformations group on the tangent bundle
    Purcaru, Monica
    Paun, Marius
    BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2007, 50 (01): : 89 - 96
  • [45] Quantum fields in the spacetime tangent bundle
    Brandt, HE
    FOUNDATIONS OF PHYSICS LETTERS, 1998, 11 (03) : 265 - 275
  • [46] TANGENT BUNDLE GEOMETRY FOR LAGRANGIAN DYNAMICS
    CRAMPIN, M
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1983, 16 (16): : 3755 - 3772
  • [47] Lie Algebra of Unit Tangent Bundle
    Murat Bekar
    Yusuf Yayli
    Advances in Applied Clifford Algebras, 2017, 27 : 965 - 975
  • [48] On manifolds with trivial logarithmic tangent bundle
    Winkelmann, J
    OSAKA JOURNAL OF MATHEMATICS, 2004, 41 (02) : 473 - 484
  • [49] Lie Algebra of Unit Tangent Bundle
    Bekar, Murat
    Yayli, Yusuf
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2017, 27 (02) : 965 - 975
  • [50] A variational crime on the tangent bundle of the sphere
    E. Simonnet
    Numerische Mathematik, 2000, 85 : 409 - 431