Nonisolated forms of rational triple point singularities of surfaces and their resolutions
Algebraic Geometry
2013-10-22 v3
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.
Keywords
Cite
@article{arxiv.1302.1464,
title = {Nonisolated forms of rational triple point singularities of surfaces and their resolutions},
author = {Ayse Altintas and Gulen Cevik and Meral Tosun},
journal= {arXiv preprint arXiv:1302.1464},
year = {2013}
}
Comments
22 pages, 43 figures, v3