Journal of Algebraic Combinatorics

, Volume 34, Issue 2, pp 213–236 | Cite as

Lattice polygons and families of curves on rational surfaces

  • Niels Lubbes
  • Josef Schicho


First we solve the problem of finding minimal degree families on toric surfaces by reducing it to lattice geometry. Then we describe how to find minimal degree families on, more generally, rational complex projective surfaces.


Algebraic geometry Toric geometry Lattice polygons Families of curves Surfaces 


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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Johann Radon InstitutÖsterreichische Akademie der WissenschaftenLinzAustria

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