Fake weighted projective spaces

2008/05/08 by Weronika Buczyńska, Weronika Buczynska, Buczynska, Weronika
Mathematics · #14F35 #14L30 #14M25 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #math.AG #msc:14F35 #msc:14L30 #msc:14M25

paper · pdf · doi:10.48550/arxiv.0805.1211

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

arxiv created 2008/05/08 · openalex publication_date 2008/05/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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