Annali di Matematica Pura ed Applicata

, Volume 171, Issue 1, pp 63–81 | Cite as

Isotrivial fibred surfaces

  • Fernando Serrano


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.


Finite Group Fibred Surface Projective Surface Canonical Bundle Smooth Fibre 
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© Fondazione Annali di Matematica Pura ed Applicata 1996

Authors and Affiliations

  • Fernando Serrano
    • 1
  1. 1.Departament d'Àlgebra i Geometria, Facultat de MatemàtiquesUniversitat de BarcelonaBarcelonaSpain

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