About the stability of the tangent bundle of Pn restricted to a surface

被引：0
|
作者：
Camere, Chiara [1 ]
机构：
[1] Univ Nice Sophia Antipolis, Lab JA Dieudonne, UMR CNRS 6621, F-06108 Nice 02, France
来源：
MATHEMATISCHE ZEITSCHRIFT | 2012年 / 271卷 / 1-2期
关键词：
Tangent bundle; Stability; Exceptional bundle; Surface; CURVE;
D O I：
10.1007/s00209-011-0874-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let X be a smooth projective surface over C and let L be a line bundle on X generated by its global sections. Let phi(L) : X -> P-r be the morphism associated to L; we investigate the mu-stability of phi(L)*T-Pr with respect to L when X is either a regular surface with p(g) = 0, a K3 surface or an abelian surface. In particular, we show that phi(L)*T-Pr is mu-stable when X is K3 and L is ample and when X is abelian and L-2 >= 14.
引用
收藏
页码：499 / 507
页数：9
相关论文
共 50 条
  • [31] On the tangent bundle of a hypersurface in a Riemannian manifold
    Zhonghua Hou
    Lei Sun
    Chinese Annals of Mathematics, Series B, 2015, 36 : 579 - 602
  • [32] SASAKI METRIC ON THE TANGENT BUNDLE OF A WEYL MANIFOLD
    Bejan, Cornelia-Livia
    Gul, Ilhan
    PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2018, 103 (117): : 25 - 32
  • [33] General Natural Metallic Structure on Tangent Bundle
    Azami, Shahroud
    IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2018, 42 (A1): : 81 - 88
  • [34] Structures in a differentiable manifold and their applications to the tangent bundle
    Khan, Mohammad Nazrul Islam
    Ansari, Gufran Ahmad
    Adhoni, Zameer Ahmad
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2020, (44): : 124 - 133
  • [35] Some new geometric structures on the tangent bundle
    Oproiu, V
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 1999, 55 (3-4): : 261 - 281
  • [36] Tangent bundle embeddings of manifolds in Euclidean space
    Ghomi, M
    COMMENTARII MATHEMATICI HELVETICI, 2006, 81 (01) : 259 - 270
  • [37] THE SCALAR CURVATURE OF THE TANGENT BUNDLE OF A FINSLER MANIFOLD
    Bejancu, Aurel
    Farran, Hani Reda
    PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2011, 89 (103): : 57 - 68
  • [38] General Natural Metallic Structure on Tangent Bundle
    Shahroud Azami
    Iranian Journal of Science and Technology, Transactions A: Science, 2018, 42 : 81 - 88
  • [39] Restriction of the Tangent Bundle of G/P to a Hypersurface
    Biswas, Indranil
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2010, 53 (02): : 218 - 222
  • [40] On an Einstein structure on the tangent bundle of a space form
    Papaghiuc, N
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 1999, 55 (3-4): : 349 - 361
12345