Generators for semigroup of Lipman

Altınok S., TOSUN M.

Bulletin of the Brazilian Mathematical Society, vol.39, no.1, pp.123-135, 2008 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 39 Issue: 1
  • Publication Date: 2008
  • Doi Number: 10.1007/s00574-008-0075-4
  • Journal Name: Bulletin of the Brazilian Mathematical Society
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.123-135
  • Keywords: Positive divisors, Rational surface singularities, Toric varieties
  • Hacettepe University Affiliated: Yes


There is a correspondence between functions in the maximal ideal of the local ring of a rational singularity and certain positive divisors supported on the exceptional fiber of a resolution of the singularity. Here we give an algorithm to obtain a generating set over ℤ of these divisors. © 2008 Springer-Verlag Berlin Heidelberg.