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manuscripta mathematica

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

Surfaces with pg=q=3

  • Gian Pietro Pirola

Abstract

 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.

Keywords

General Type Main Tool Algebraic Surface Lefschetz Theorem Irrational Pencil 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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