Geodesic
The classification of weighted projective spaces
Anthony Bahri 1   ; Matthias Franz 2   ; Dietrich Notbohm 3   ; Nigel Ray 4
1 Department of Mathematics Rider University Lawrenceville, NJ 08648, U.S.A.
2 Department of Mathematics University of Western Ontario London, ON N6A 5B7, Canada
3 Department of Mathematics Vrije Universiteit Amsterdam De Boelelaan 1081a 1081 HV Amsterdam, The Netherlands
4 School of Mathematics University of Manchester Oxford Road Manchester M13 9PL, United Kingdom
Fundamenta Mathematicae, Tome 220 (2013) no. 3, pp. 217-226 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We obtain two classifications of weighted projective spaces: up to hoeomorphism 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.
DOI : 10.4064/fm220-3-3
Keywords: obtain classifications weighted projective spaces hoeomorphism homotopy equivalence former coincides amranis classification isomorphism algebraic varieties deduce latter proving mislin genus weighted projective space rigid

Anthony Bahri  1   ; Matthias Franz  2   ; Dietrich Notbohm  3   ; Nigel Ray  4

1 Department of Mathematics Rider University Lawrenceville, NJ 08648, U.S.A.
2 Department of Mathematics University of Western Ontario London, ON N6A 5B7, Canada
3 Department of Mathematics Vrije Universiteit Amsterdam De Boelelaan 1081a 1081 HV Amsterdam, The Netherlands
4 School of Mathematics University of Manchester Oxford Road Manchester M13 9PL, United Kingdom 
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Anthony Bahri; Matthias Franz; Dietrich Notbohm; Nigel Ray. The classification of weighted projective spaces. Fundamenta Mathematicae, Tome 220 (2013) no. 3, pp. 217-226. doi: 10.4064/fm220-3-3

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