manuscripta mathematica

, Volume 108, Issue 2, pp 163–170 | Cite as

Surfaces with pg=q=3

  • Gian Pietro Pirola


 In this paper it is proved that a complete algebraic surface of general type with p g =q=3, without irrational pencil of genus bigger than one is birationally equivalent to the two-symmetric product of a curve of genus 3. This result completes the classification of the surfaces with p g =q=3. The main tools are the Lefschetz theorem and the use of the paracanonical system on the surface.


General Type Main Tool Algebraic Surface Lefschetz Theorem Irrational Pencil 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Gian Pietro Pirola
    • 1
  1. 1.Dipartimento di Matematica, Università di Pavia, via Ferrata 1, 27100 Pavia, Italy. e-mail: pirola@dimat.unipv.itIT

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