NONISOLATED FORMS OF RATIONAL TRIPLE POINT SINGULARITIES OF SURFACES AND THEIR RESOLUTIONS

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Sharland A. A., Cevik G., TOSUN M.

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, vol.46, no.2, pp.357-388, 2016 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 46 Issue: 2
• Publication Date: 2016
• Doi Number: 10.1216/rmj-2016-46-2-357
• Journal Name: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.357-388
• Galatasaray University Affiliated: Yes

Abstract

We give a list of nonisolated hypersurface singularities of which normalizations are the rational triple point singularities of surfaces and construct their minimal resolution graphs by a method introduced by Oka for isolated complete intersection singularities. We also show that nonisolated forms of rational triple point singularities and their normalizations are both Newton non-degenerate.