English

Fake weighted projective spaces

Algebraic Geometry 2008-05-09 v1

Abstract

We define fake weighted projective spaces as a generalisation of weighted projective spaces. We introduce the notions of fundamental group in codimension 1 and of universal covering in codimension 1. We prove that for every fake weighted projective space its universal cover in codimension 1 is a weighted projective space.

Keywords

Cite

@article{arxiv.0805.1211,
  title  = {Fake weighted projective spaces},
  author = {Weronika Buczynska},
  journal= {arXiv preprint arXiv:0805.1211},
  year   = {2008}
}

Comments

20 pages, master thesis defended at Warsaw University in June 2002

R2 v1 2026-06-21T10:38:42.025Z