Properties of Rational Singularities

  • Lucian Bădescu
Part of the Universitext book series (UTX)

Abstract

Let f : X → Y be a desingularization of a normal singularity (Y, y), with Y an affine surface, E1, ... , En the irreducible components of the reduced fiber E = f−1(y)red, and L an invertible OX-module such that (L · Ei) ≥ (ωX · Ei), i = 1, ... , n. Then H1(X, L) = 0.

Keywords

Exact Sequence Irreducible Component Local Ring Rational Singularity Normal Singularity 
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 Science+Business Media New York 2001

Authors and Affiliations

  • Lucian Bădescu
    • 1
  1. 1.Institute of MathematicsRomanian AcademyBucharestRomania

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