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.
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页码：499 / 507
页数：9
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