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.
Original language | English (US) |
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Pages (from-to) | 1525-1548 |
Number of pages | 24 |
Journal | Duke Mathematical Journal |
Volume | 163 |
Issue number | 8 |
DOIs | |
State | Published - Jun 2014 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- General Mathematics