English

A note on graded hypersurface singularities

Algebraic Geometry 2014-01-03 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1310.6734,
  title  = {A note on graded hypersurface singularities},
  author = {Patricio Gallardo},
  journal= {arXiv preprint arXiv:1310.6734},
  year   = {2014}
}

Comments

19 pages, 4 figures. New section on stable replacement of Unimodal singularities, Several improvements and corrections. Comments welcome

R2 v1 2026-06-22T01:53:44.332Z