# The classification of isotrivial fibred surfaces with pg=q=2

Matteo Penegini, Sönke Rollenske

Number | 21 |
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Author | Sönke Rollenske |

Year | 2009 |

An isotrivial 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 isotrivial fibred surfaces with pg=q=2 completing and extending a result of Zucconi. As an important byproduct, we provide new examples of minimal surfaces of general type with pg=q=2 and K2=4,5 and a first example with K2=6.