About the stability of the tangent bundle of P-n restricted to a surface

作者：Camere Chiara^*

来源：Mathematische Zeitschrift, 2012, 271(1-2): 499-507.

DOI：10.1007/s00209-011-0874-y

• Tangent bundle
• Stability
• Exceptional bundle
• Surface

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 -%26gt; 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 %26gt;= 14.

• 出版日期2012-6