Exponents of an irreducible plane curve singularity

Details Exponents of an irreducible plane curve singularity Exponents of an irreducible plane curve singularity

2000-09-13

arxiv.org/abs/math/0009133v2

Mathematics

Algebraic Geometry

AMS-TeX, 15 pages; remarks and references added

Scientific paper

We give an explicit formula for the exponents (i.e. the spectra up to the shift by one) of an irreducible plane curve singularity in terms of Puiseux pairs. As an application we prove in this case Hertling's conjecture that the variance (i.e. the square of the standard deviation) of the exponents is bounded by the difference between the maximal and minimal exponents divided by 12.

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