, Volume 171, Issue 1, pp 63-81

Isotrivial fibred surfaces

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Abstract

An isotrivial surface is a smooth projective surface endowed with a morphism onto a curve such that all smooth fibres are isomorphic to each other. Such a surface is birationally isomorphic to a quotient of a product of curves by the action of a finite group. Starting with this birational description, several biregular features are analysed. In particular, the canonical bundle of a particular model is explicitely computed.

Partially supported by the European Science Program, project «Geometry of Algebraic Varieties», contract no. SCI-0398-C(A), and by CICYT research project no. PS90-0069 (Ministerio de Educación y Ciencia; Spain).