Academic Journal
Extensions of maps defined on many fibres: Extension of maps defined on many fibres
| Title: | Extensions of maps defined on many fibres: Extension of maps defined on many fibres |
|---|---|
| Authors: | Barja Yáñez, Miguel Ángel, Naranjo, J. C. |
| Contributors: | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I, Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions, Universitat de Barcelona |
| Source: | Dipòsit Digital de la UB Universidad de Barcelona Articles publicats en revistes (Matemàtiques i Informàtica) UPCommons. Portal del coneixement obert de la UPC Universitat Politècnica de Catalunya (UPC) Recercat. Dipósit de la Recerca de Catalunya instname Collectanea Mathematica; 1998: Vol.: 49 Núm.: 2-3; p. 227-238 |
| Publisher Information: | Universitat de Barcelona, 1997. |
| Publication Year: | 1997 |
| Subject Terms: | fibred surface, Cicles, 14 Algebraic geometry::14C Cycles and subschemes [Classificació AMS], Geometry, fibration of curves, Corbes, Classificació AMS::14 Algebraic geometry::14H Curves, Fibrations, degenerations in algebraic geometry, Geometry, Algebraic, Algebraic geometry, Algebraic, fibres, 14 Algebraic geometry::14H Curves [Classificació AMS], Geometria algebraica, extension of maps, Structure of families (Picard-Lefschetz, monodromy, etc.), Families, moduli, classification: algebraic theory, Algebraic surfaces, Classificació AMS::14 Algebraic geometry::14C Cycles and subschemes, Curves, Superfícies algebraiques |
| Description: | 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. |
| Document Type: | Article |
| File Description: | application/pdf; application/xml; text/html |
| Access URL: | http://hdl.handle.net/2445/16908 https://hdl.handle.net/2445/16908 https://hdl.handle.net/2117/984 http://hdl.handle.net/2117/984 https://zbmath.org/1383019 http://www.raco.cat/index.php/CollectaneaMathematica/article/view/56453 |
| Accession Number: | edsair.dedup.wf.002..171247465e9af6d2d0b5a28cc2467d4b |
| Database: | OpenAIRE |
| Description not available. |