Boundary manifolds of projective hypersurfaces

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
31 pages; accepted for publication in Advances in Mathematics

Keywords

Algebraic Topology, Algebraic Geometry, 14J70, 32S22; 16W50, 32S35, 55M30

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/101091

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0502506
 http://arxiv.org/abs/math/0502506
 Advances in Mathematics 206 (2006), no. 2, 538-566
 doi:10.1016/j.aim.2005.10.003

Collections

arXiv