Title:
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Extension of maps defined on many fibres
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Author:
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Barja Yáñez, Miguel Ángel; Naranjo, J. C.
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Other authors:
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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:
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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:
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Peer Reviewed |
Subject(s):
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-Geometry, Algebraic -Curves -fibres -Cicles -Corbes -Classificació AMS::14 Algebraic geometry::14H Curves -Classificació AMS::14 Algebraic geometry::14C Cycles and subschemes |
Rights:
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Document type:
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Article |
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