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arXiv · 0904.1352

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

Matteo Penegini
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Abstract

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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Matteo Penegini. 2009-04-08. The classification of isotrivially fibred surfaces with p_g=q=2. https://arxiv.org/abs/0904.1352

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