Fake weighted projective spaces

Mathematics – Algebraic Geometry

Scientific paper

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

Scientific paper

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.

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