曲面有理三重点奇点的非孤立形式及其分解
Nonisolated forms of rational triple point singularities of surfaces and their resolutions
摘要：
本文详细研究了多重有理奇点（简称RTP奇点）。本文给出了一类非孤立的超曲面奇点，它们的正规化是它们的RTP-奇点，并通过对它们的Newton多边形的剖分构造了它们的极小分解图。孤立的完全相交奇点。我们证明了RTP奇点的非孤立形式及其正规化都是牛顿非退化的。
英文摘要：
The work is a detailed study of rational singularities of multiplicity 3 (RTP-singularities, for short). We give a list of nonisolated hypersurface singularities of which normalisations are the RTP-singularities, and construct their minimal resolution graphs by means of a subdivision of Newton polygons of those -- a method introduced by M. Oka for isolated complete intersection singularities. We show that nonisolated forms of RTP-singularities and their normalisations are both Newton non-degenerate.
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