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.
About the stability of the tangent bundle of P-n restricted to a surface / C. Camere. - In: MATHEMATISCHE ZEITSCHRIFT. - ISSN 0025-5874. - 271:1-2(2012), pp. 499-507.
About the stability of the tangent bundle of P-n restricted to a surface
C. Camere
2012
Abstract
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.File in questo prodotto:
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