Journal Article

·2016 OPEN ACCESS

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

Ayşe Sharland YTU , Gulen Cevik YTU , Meral Tosun YTU

Rocky Mountain Journal of Mathematics

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.

Keywords

Gravitational singularity Mathematics Hypersurface Triple point Point (geometry) Resolution of singularities Pure mathematics Intersection (aeronautics) Degenerate energy levels Birational geometry Combinatorics Mathematical analysis Geometry Physics

Subject Areas

Commutative Algebra and Its Applications ·Algebra and Number Theory ·Physical Sciences
Polynomial and algebraic computation ·Computational Theory and Mathematics ·Physical Sciences
Algebraic Geometry and Number Theory ·Geometry and Topology ·Physical Sciences

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