The classification of weighted projective spaces
Anthony Bahri ; Matthias Franz ; Dietrich Notbohm ; Nigel Ray
Fundamenta Mathematicae, Tome 220 (2013), p. 217-226 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2013-01-01
EUDML-ID : urn:eudml:doc:282853 
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Anthony Bahri; Matthias Franz; Dietrich Notbohm; Nigel Ray. The classification of weighted projective spaces. Fundamenta Mathematicae, Tome 220 (2013) pp. 217-226. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm220-3-3/