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Preprints Archive: Abstract of IC2010061 (2010)

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Hilbert basis of the Lipman semigroup

by Mesut Sahin

Document info: Pages 6, Figures 0.

In this work, we give a new method to compute the Hilbert basis, a finite set of generators, for the semigroup of certain positive divisors supported on the exceptional divisor of a normal surface singularity. Our approach is purely combinatorial which permits to avoid the long calculation of the invariants of the ring as it is presented in [S. Altinok and M. Tosun, 2008].

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