Milnor numbers of projective hypersurfaces with isolated singularities
Algebraic Geometry
2015-01-14 v2
Abstract
Let V be a projective hypersurface of fixed degree and dimension which has only isolated singular points. We show that, if the sum of the Milnor numbers at the singular points of V is large, then V cannot have a point of large multiplicity, unless V is a cone. As an application, we give an affirmative answer to a conjecture of Dimca and Papadima.
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Cite
@article{arxiv.1210.2690,
title = {Milnor numbers of projective hypersurfaces with isolated singularities},
author = {June Huh},
journal= {arXiv preprint arXiv:1210.2690},
year = {2015}
}
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18 pages