Annali di Matematica Pura ed Applicata

, Volume 171, Issue 1, pp 63–81

Isotrivial fibred surfaces


  • Fernando Serrano
    • Departament d'Àlgebra i Geometria, Facultat de MatemàtiquesUniversitat de Barcelona

DOI: 10.1007/BF01759382

Cite this article as:
Serrano, F. Annali di Matematica pura ed applicata (1996) 171: 63. doi:10.1007/BF01759382


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.

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