Extending divisors from complete intersection surfaces

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].