Invariants of the graded algebras associated to divisorial valuations dominating a rational surface singularity

  • Vincent Cossart

    Université de Versailles Saint-Quentin, Versailles, France
  • Olivier Piltant

    Université de Versailles Saint-Quentin, Versailles, France
  • Ana J. Reguera

    Universidad de Valladolid, Spain
Invariants of the graded algebras associated to divisorial valuations dominating a rational surface singularity cover

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Abstract

Let be a rational surface singularity and be a prime divisor of the second kind for . Then is finitely generated over . We recover information about the dual graph of the minimal resolution of from the set of all . In particular we characterize those graded algebras corresponding to the exceptional curves in .