The classification of isotrivially fibred surfaces with p g = q = 2

• Autores: Matteo Penegini
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 62, Fasc. 3, 2011, págs. 239-274
• Idioma: inglés
• DOI: 10.1007/s13348-011-0043-y
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• Resumen

  • An isotrivially fibred surface is a smooth projective surface endowed with a morphism onto a curve such that all the smooth fibres are isomorphic to each other. The first goal of this paper is to classify the isotrivially fibred surfaces with p g = q = 2 completing and extending a result of Zucconi. As an important byproduct, we provide new examples of minimal surfaces of general type with p g = q = 2 and K 2 = 4, 5 and a first example with K 2 = 6.