The fundamental group of partial compactifications of the complement of a real line arrangement

DOI10.1016/j.topol.2020.107388zbMath1460.57023arXiv1904.11222OpenAlexW3087556369MaRDI QIDQ2215691

Rodolfo Aguilar Aguilar

Publication date: 14 December 2020

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.11222

zbMATH Keywords

presentationfundamental grouphyperplane arrangementquasi-projective groupsmooth quasi-projective surface

Mathematics Subject Classification ID

Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Coverings of curves, fundamental group (14H30) Fundamental group, presentations, free differential calculus (57M05) Homotopy theory and fundamental groups in algebraic geometry (14F35) Topology of real algebraic varieties (14P25) Configurations and arrangements of linear subspaces (14N20)

Cites Work

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• Topology of the complement of real hyperplanes in \({\mathbb C}^ N\)
• The fundamental group of the complement of a union of complex hyperplanes: Correction
• The fundamental group of the complement of an arrangement of complex hyperplanes
• Homotopy types of line arrangements
• The braid monodromy of plane algebraic curves and hyperplane arrangements
• Plane curves and their fundamental groups: Generalizations of Uludağ's construction
• Monodromy of hypergeometric functions and non-lattice integral monodromy
• Characteristic varieties of quasi-projective manifolds and orbifolds
• Representations of fundamental groups of algebraic varieties
• Complex Ball Quotients and Line Arrangements in the Projective Plane
• Abelian coverings of the complex projective plane branched along configurations of real lines
• Pencils of Plane Curves and Characteristic Varieties

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