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A note on graded hypersurface singularities

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arxiv 1310.6734 v2 pith:YV22LOF6 submitted 2013-10-24 math.AG

A note on graded hypersurface singularities

Patricio Gallardo This is my paper
classification math.AG
keywords singularitiesgradedhypersurfacequasihomogeneoussingularitysmoothingweightedblow
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For a weighted quasihomogeneous two dimensional hypersurface singularity, we define a smoothing with unipotent monodromy and an isolated graded normal singularity. We study the natural weighted blow up of both the smoothing and the surface. In particular, we describe our construction for the quasihomogeneous singularities of type I, the 14 unimodal exceptional singularities and we relate it to their stable replacement.

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