The classification of weighted projective spaces

Anthony Bahri; Matthias Franz; Dietrich Notbohm; Nigel Ray

doi:10.4064/fm220-3-3

The classification of weighted projective spaces

Anthony Bahri, Matthias Franz, Dietrich Notbohm, Nigel Ray

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Abstract

We obtain two classifications of weighted projective spaces; up to homeomorphism and up to homotopy equivalence. We show that the former coincides with Al Amrani's classification up to isomorphism of algebraic varieties, and deduce the latter by proving that the Mislin genus of any weighted projective space is rigid.

Original language	English
Pages (from-to)	217-226
Number of pages	10
Journal	Fundamenta Mathematicae
Volume	220
Issue number	3
DOIs	https://doi.org/10.4064/fm220-3-3
Publication status	Published - 9 Aug 2011

Keywords

math.AT
math.AG
55P15 (Primary) 14M25, 55P60, 57R18 (Secondary)

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title = "The classification of weighted projective spaces",

abstract = "We obtain two classifications of weighted projective spaces; up to homeomorphism and up to homotopy equivalence. We show that the former coincides with Al Amrani's classification up to isomorphism of algebraic varieties, and deduce the latter by proving that the Mislin genus of any weighted projective space is rigid.",

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KW - math.AG

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DO - 10.4064/fm220-3-3

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JO - Fundamenta Mathematicae

JF - Fundamenta Mathematicae

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The classification of weighted projective spaces

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Keywords

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