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Maximally irregularly fibred surfaces of general type

Martin Moeller
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Abstract

We generalise a method of Xiao Gang to construct 'prototypes' of fibred surfaces with maximal irregularity without being a product. This enables us, in the case of fibre genus g=3 to describe the possible singular fibres and to calculate the invariants of these surfaces. We also prove structure theorems on the moduli space for fibred surfaces with fibre genus g=2 and g=3.

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Martin Moeller. 2004-10-21. Maximally irregularly fibred surfaces of general type. https://arxiv.org/abs/math/0209120

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