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On the Hyperplane Sections of Blow-Ups of Complex Projective Plane

Published online by Cambridge University Press:  20 November 2018

Aldo Biancofiore
Aldo Biancofiore*
Affiliation:
Via Roma, L'Aquila, Italy
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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]).

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 41 , Issue 6 , 01 December 1989 , pp. 1005 - 1020
Copyright
Copyright © Canadian Mathematical Society 1989

References

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