Mini-Workshop: Negative Curves on Algebraic Surfaces

  • Sandra Di Rocco

    Royal Institute of Technology, Stockholm, Sweden
  • Alex Küronya

    Budapest University of Technology & Economics, Hungary
  • Stefan Müller-Stach

    Johannes Gutenberg-Universität Mainz, Germany
  • Tomasz Szemberg

    Krakow Pedagogical Academy, Kraków, Poland


Negative curves play a prominent role in the geometry of projective surfaces. They occur naturally as the irreducible components of exceptional loci of resolutions of surface singularities, at the same time, they are closely related to the geometry of the effective cone, and thus form an important building block of the Minimal Model Program. In the case of surfaces, classes of negative curves span extremal rays of the Mori cone. Any knowledge about them on a given surface reveals important information on linear series as well.

Cite this article

Sandra Di Rocco, Alex Küronya, Stefan Müller-Stach, Tomasz Szemberg, Mini-Workshop: Negative Curves on Algebraic Surfaces. Oberwolfach Rep. 11 (2014), no. 1, pp. 555–593

DOI 10.4171/OWR/2014/10