Singularities of Some Projective Rational Surfaces

  • Ragni Piene
Conference paper


We discuss the singularities of some rational algebraic surfaces in complex projective space. In particular, we give formulas for the degrees of the various types of singular loci, in terms of invariants of the surface. These enumerative results can be used, on the one hand, to show the existence of singularities in the complex case, and, on the other hand, as an “upper bound” for the singularities that can occur on a real rational surface.


Triple Point General Projection Singular Locus Pinch Point Geometric Genus 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Ragni Piene
    • 1
  1. 1.Centre of Mathematics for Applications & Department of MathematicsUniversity of OsloOsloNorway

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