Document Type
Article
Publication Date
11-10-2006
Abstract
We study the topology of the boundary manifold of a regular neighborhood of a complex projective hypersurface. We show that, under certain Hodge-theoretic conditions, the cohomology ring of the complement of the hypersurface functorially determines that of the boundary. When the hypersurface defines a hyperplane arrangement, the cohomology of the boundary is completely determined by the combinatorics of the underlying arrangement and the ambient dimension. We also study the LS category and topological complexity of the boundary manifold, as well as the resonance varieties of its cohomology ring. © 2005 Elsevier Inc. All rights reserved.
Publication Source (Journal or Book title)
Advances in Mathematics
First Page
538
Last Page
566
Recommended Citation
Cohen, D., & Suciu, A. (2006). Boundary manifolds of projective hypersurfaces. Advances in Mathematics, 206 (2), 538-566. https://doi.org/10.1016/j.aim.2005.10.003