On the topology of some quasi-projective surfaces

Alexandru Dimca

On the topology of some quasi-projective surfaces

Algebraic Geometry 2017-08-30 v2 Algebraic Topology

Authors: Alexandru Dimca

Abstract

Let $X$ be surface with isolated singularities in the complex projective space $P^3$ and let denote $Y$ the smooth part of $X$ . In this note we discuss some aspects of the topology of such quasi-projective surfaces $Y$ : the fundamental groups and the associated Galois coverings, the second homotopy groups and the mixed Hodge structure on the first cohomology group.

Keywords

quasi-projective surfaces isolated singularities complex projective space fundamental group Galois covering homotopy group mixed Hodge structure

Cite

@article{arxiv.1504.07125,
  title  = {On the topology of some quasi-projective surfaces},
  author = {Alexandru Dimca},
  journal= {arXiv preprint arXiv:1504.07125},
  year   = {2017}
}

Comments

version 2 contains new examples and many new references following suggestions by Ciro Ciliberto and De-Qi Zhang

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