Extension of maps defined on many fibres

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Title:	Extension of maps defined on many fibres
Author:	Barja Yáñez, Miguel Ángel; Naranjo, J. C.
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
Abstract:	Let S be a fibred surface. We prove that the existence of morphisms from non countably many fibres to curves implies, up to base change, the existence of a rational map from S to another surface fibred over the same base reflecting the properties of the original morphisms. Under some conditions of unicity base change is not needed and one recovers exactly the initial maps.
Abstract:	Peer Reviewed
Subject(s):	-Geometry, Algebraic -Curves -fibres -Cicles -Corbes -Classificació AMS::14 Algebraic geometry::14H Curves -Classificació AMS::14 Algebraic geometry::14C Cycles and subschemes
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Document type:	Article
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