Hypersurface exceptional singularities

Details Hypersurface exceptional singularities Hypersurface exceptional singularities

1999-10-23

arxiv.org/abs/math/9910123v3

Mathematics

Algebraic Geometry

LaTeX2e, 27 pages, a few misprints in Proposition 2.4 are corrected

Scientific paper

This paper studies hypersurface exceptional singularities in $\mathbb C^n$ defined by non-degenerate function. For each canonical hypersurface singularity, there exists a weighted homogeneous singularity such that the former is exceptional if and only if the latter is exceptional. So we study the weighted homogeneous case and prove that the number of weights of weighted homogeneous exceptional singularities are finite. Then we determine all exceptional singularities of the Brieskorn type of dimension 3.

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