English

Maximally irregularly fibred surfaces of general type

Algebraic Geometry 2007-05-23 v3

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.

Keywords

Cite

@article{arxiv.math/0209120,
  title  = {Maximally irregularly fibred surfaces of general type},
  author = {Martin Moeller},
  journal= {arXiv preprint arXiv:math/0209120},
  year   = {2007}
}

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23 pages