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

页码：499 / 507

页数：9

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