# Extension of maps defined on many fibres.

Miguel A. Barja; Juan Carlos Naranjo

Collectanea Mathematica (1998)

- Volume: 49, Issue: 2-3, page 227-238
- ISSN: 0010-0757

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topBarja, Miguel A., and Naranjo, Juan Carlos. "Extension of maps defined on many fibres.." Collectanea Mathematica 49.2-3 (1998): 227-238. <http://eudml.org/doc/41239>.

@article{Barja1998,

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.},

author = {Barja, Miguel A., Naranjo, Juan Carlos},

journal = {Collectanea Mathematica},

keywords = {Espacio fibrado; Curvas lisas; Grupos de automorfismos; Morfismos; fibred surface; extension of maps; fibration of curves},

language = {eng},

number = {2-3},

pages = {227-238},

title = {Extension of maps defined on many fibres.},

url = {http://eudml.org/doc/41239},

volume = {49},

year = {1998},

}

TY - JOUR

AU - Barja, Miguel A.

AU - Naranjo, Juan Carlos

TI - Extension of maps defined on many fibres.

JO - Collectanea Mathematica

PY - 1998

VL - 49

IS - 2-3

SP - 227

EP - 238

AB - 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.

LA - eng

KW - Espacio fibrado; Curvas lisas; Grupos de automorfismos; Morfismos; fibred surface; extension of maps; fibration of curves

UR - http://eudml.org/doc/41239

ER -

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