Geodesic
On the Hyperplane Sections of Blow-Ups of Complex Projective Plane
Canadian journal of mathematics, Tome 41 (1989) no. 6, pp. 1005-1020

Voir la notice de l'article provenant de la source Cambridge University Press

Let L be a line bundle on a connected, smooth, algebraic, projective surface X. In this paper we have studied the following questions:1) Under which conditions is L spanned by global sections? I.e., if ɸL : X →PN denotes the map associated to the space Г(L) of the sections of L, when is ɸL a morphism?2) Under which conditions is L very ample? I.e., when does ɸL give an embedding?These problems arise naturally in the study, and in particular in the classification, of algebraic surfaces (see [8], [3], [5]). 
Biancofiore, Aldo. On the Hyperplane Sections of Blow-Ups of Complex Projective Plane. Canadian journal of mathematics, Tome 41 (1989) no. 6, pp. 1005-1020. doi: 10.4153/CJM-1989-045-5
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