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.
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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).
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Serrano, F. Isotrivial fibred surfaces. Annali di Matematica pura ed applicata 171, 63–81 (1996). https://doi.org/10.1007/BF01759382
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DOI: https://doi.org/10.1007/BF01759382