The classification of weighted projective spaces

Anthony Bahri, et al. "The classification of weighted projective spaces." Fundamenta Mathematicae 220.3 (2013): 217-226. <http://eudml.org/doc/282853>.

@article{AnthonyBahri2013,
abstract = {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.},
author = {Anthony Bahri, Matthias Franz, Dietrich Notbohm, Nigel Ray},
journal = {Fundamenta Mathematicae},
keywords = {weighted projective space; classification; Mislin genus},
language = {eng},
number = {3},
pages = {217-226},
title = {The classification of weighted projective spaces},
url = {http://eudml.org/doc/282853},
volume = {220},
year = {2013},
}

TY - JOUR
AU - Anthony Bahri
AU - Matthias Franz
AU - Dietrich Notbohm
AU - Nigel Ray
TI - The classification of weighted projective spaces
JO - Fundamenta Mathematicae
PY - 2013
VL - 220
IS - 3
SP - 217
EP - 226
AB - 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.
LA - eng
KW - weighted projective space; classification; Mislin genus
UR - http://eudml.org/doc/282853
ER -