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arXiv · 1302.1464

Nonisolated forms of rational triple point singularities of surfaces and their resolutions

Ayse Altintas·Gulen Cevik·Meral Tosun
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Abstract

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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Ayse Altintas, Gulen Cevik, Meral Tosun. 2013-02-06. Nonisolated forms of rational triple point singularities of surfaces and their resolutions. https://arxiv.org/abs/1302.1464

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