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.
|Original language||English (US)|
|Number of pages||24|
|Journal||Duke Mathematical Journal|
|State||Published - Jun 2014|
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