NONISOLATED FORMS OF RATIONAL TRIPLE POINT SINGULARITIES OF SURFACES AND THEIR RESOLUTIONS
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, vol.46, no.2, pp.357-388, 2016 (SCI-Expanded, Scopus)
- 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
- Open Archive Collection: AVESIS Open Access Collection
- 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.