Fake weighted projective spaces
Weronika Buczynska
TL;DR
This paper introduces fake weighted projective spaces as a generalization of weighted projective spaces, establishing their fundamental group and universal cover properties in codimension 1.
Contribution
It defines fake weighted projective spaces and proves their universal cover in codimension 1 is a weighted projective space, extending the theory of weighted projective spaces.
Findings
Universal cover in codimension 1 is a weighted projective space.
Introduces fundamental group in codimension 1.
Generalizes weighted projective spaces.
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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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Algebra and Geometry · Algebraic Geometry and Number Theory