Hypersurface complements , Milnor fibers and higher homotopy groups of arrangments

@inproceedings{Papadima2003HypersurfaceC,
  title={Hypersurface complements , Milnor fibers and higher homotopy groups of arrangments},
  author={S tefan Papadima},
  year={2003}
}
The interplay between geometry and topology on complex algebraic varieties is a classical theme that goes back to Lefschetz [L] and Zariski [Z] and is always present on the scene, see for instance the work by Libgober [Li]. In this paper we study complements of hypersurfaces, with a special attention to the case of hyperplane arrangements as discussed in Orlik-Terao's book [OT1]. Theorem 1 expresses the degree of the gradient map associated to any homogeneous polynomial h as the number of n… CONTINUE READING

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