English

Dirichlet fundamental domains and complex-projective varieties

Algebraic Geometry 2015-06-03 v1 Group Theory Geometric Topology

Abstract

We prove that for every finitely-presented group G there exists a 2-dimensional irreducible complex-projective variety W with the fundamental group G, so that all singularities of W are normal crossings and Whitney umbrellas.

Keywords

Cite

@article{arxiv.1201.3129,
  title  = {Dirichlet fundamental domains and complex-projective varieties},
  author = {Michael Kapovich},
  journal= {arXiv preprint arXiv:1201.3129},
  year   = {2015}
}

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R2 v1 2026-06-21T20:04:49.619Z