The classification of isotrivially fibred surfaces with p_g=q=2

Details The classification of isotrivially fibred surfaces with p_g=q=2 The classification of isotrivially fibred surfaces with p_g=q=2

2009-04-08

arxiv.org/abs/0904.1352v2

Mathematics

Algebraic Geometry

Main paper by M.Penegini. Appendix by S.Rollenske. 31 pages, 6 Figures. v2 changed group relations in Theorem 5.2, changes in

Scientific paper

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 $K^2=6$.

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