Maximally irregularly fibred surfaces of general type
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- September 2002
- DOI:
- 10.48550/arXiv.math/0209120
- arXiv:
- arXiv:math/0209120
- Bibcode:
- 2002math......9120M
- Keywords:
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- Algebraic Geometry;
- 14J10;
- 14J29;
- 14D06
- E-Print:
- 23 pages