Hilbert basis of the Lipman semigroup

Sahin, MESUT

doi:10.1016/j.crma.2010.11.005

Hilbert basis of the Lipman semigroup

Sahin M.

COMPTES RENDUS MATHEMATIQUE, cilt.348, ss.1311-1314, 2010 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 348
Basım Tarihi: 2010
Doi Numarası: 10.1016/j.crma.2010.11.005
Dergi Adı: COMPTES RENDUS MATHEMATIQUE
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.1311-1314
Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
Hacettepe Üniversitesi Adresli: Hayır

Özet

In this Note, we give a new method to compute the Hilbert basis of the semigroup of certain positive divisors supported on the exceptional divisor of a normal surface singularity. Our approach is purely combinatorial and enables us to avoid the long calculation of the invariants of the ring as it is presented in the work of Altinok and Tosun. (C) 2010 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.