Maximally irregularly fibred surfaces of general type

Details Maximally irregularly fibred surfaces of general type Maximally irregularly fibred surfaces of general type

2002-09-11

arxiv.org/abs/math/0209120v3

Mathematics

Algebraic Geometry

23 pages

Scientific paper

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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