The classification of weighted projective spaces
Algebraic Topology
2013-03-28 v4 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.1108.1938,
title = {The classification of weighted projective spaces},
author = {Anthony Bahri and Matthias Franz and Dietrich Notbohm and Nigel Ray},
journal= {arXiv preprint arXiv:1108.1938},
year = {2013}
}
Comments
9 pages; new title, separate section on Mislin genus, minor changes