Extending divisors from complete intersection surfaces

Authors

  • Jorge Caravantes Universdad de Cantabria

Keywords:

Curves wiyh ample normal bundle, Infinitesimal neighbourhood, Picard group, Homogeneous spaces

Abstract

The aim of this paper is to extend a theorem of Griffiths, Harris and Hulek [4], [6] on the extendability of divisors of a smooth complete intersection surface in P^n to the case when the ambient space is a product of projective spaces or a Grassmannian. The proofs generalize the proof of the result of Griffiths-Harris-Hulek given by Ellingsrud-Gruson-Peskine-Strømme in [3].

Author Biography

  • Jorge Caravantes, Universdad de Cantabria
    Universdad de Cantabria
    Facultad de Ciencias
    Departamento de Matem´ aticas
    Estadística y Computacón
    39006, Santander, Spain

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Published

2007-12-05

Issue

Section

Articoli