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Generators for semigroup of Lipman
Authors:Selma Altınok  Meral Tosun
Institution:(1) Adnan Menderes University, Department of Mathematics, 09100 Aydın, TURKIYE;(2) Galatasaray University, Department of Mathematics, 34357 Istanbul, TURKIYE;(3) Feza Gursey Institute, 34684 Cengelkoy, Istanbul, TURKIYE
Abstract: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.
Keywords:rational surface singularities  positive divisors  toric varieties
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