The classification of isotrivially fibred surfaces with p_g=q=2

Matteo Penegini

The classification of isotrivially fibred surfaces with p_g=q=2

Algebraic Geometry 2015-03-13 v2

Authors: Matteo Penegini

Abstract

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

Keywords

isotrivially fibred surfaces classification general type surfaces geometric genus irregularity K^2

Cite

@article{arxiv.0904.1352,
  title  = {The classification of isotrivially fibred surfaces with p_g=q=2},
  author = {Matteo Penegini},
  journal= {arXiv preprint arXiv:0904.1352},
  year   = {2015}
}

Comments

Main paper by M.Penegini. Appendix by S.Rollenske. 31 pages, 6 Figures. v2 changed group relations in Theorem 5.2, changes in Theorem 5.7, new proof of Theorem 4.15, minor corrections of misprints

The classification of isotrivially fibred surfaces with p_g=q=2

Abstract

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