Extension of maps defined on many fibres.

Barja, 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 -