Document Type
Article
Department or Administrative Unit
Mathematics
Publication Date
7-5-2005
Abstract
For line arrangements in P2 with nice combinatorics (in particular, for those which are nodal away the line at infinity), we prove that the combinatorics contains the same information as the fundamental group together with the meridianal basis of the abelianization. We consider higher dimensional analogs of the above situation. For these analogs, we give purely combinatorial complete descriptions of the following topological invariants (over an arbitrary field): the twisted homology of the complement, with arbitrary rank one coefficients; the homology of the associated Milnor fiber and Alexander cover, including monodromy actions; the coinvariants of the first higher non-trivial homotopy group of the Alexander cover, with the induced monodromy action.
Recommended Citation
Choudary, A. D. R., Dimca, A., & Papadima, T. (2005). Some analogs of Zariski’s Theorem on nodal line arrangements. Algebraic & Geometric Topology, 5(2), 691–711. https://doi.org/10.2140/agt.2005.5.691
Journal
Algebraic & Geometric Topology
Copyright
© Geometry & Topology Publications
Comments
This article was originally published in Algebraic & Geometric Topology. The full-text article from the publisher can be found here.