The classification of weighted projective spaces

• Autorzy: Anthony Bahri , Matthias Franz , Dietrich Notbohm , Nigel Ray
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 55P15: Classification of homotopy type
• 55P60: Localization and completion
• 14M25: Toric varieties, Newton polyhedra
• 57R18: Topology and geometry of orbifolds

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2013
• Tom: 220
• Numer: 3
• Strony: 217-226

Daty

wydano

2013

Twórcy

autor

Anthony Bahri

• Department of Mathematics, Rider University, Lawrenceville, NJ 08648, U.S.A.

autor

Matthias Franz

• Department of Mathematics, University of Western Ontario, London, ON N6A 5B7, Canada

autor

Dietrich Notbohm

• Department of Mathematics, Vrije Universiteit Amsterdam, De Boelelaan 1081a, 1081 HV Amsterdam, The Netherlands

autor

Nigel Ray

• School of Mathematics, University of Manchester, Oxford Road, Manchester M13 9PL, United Kingdom

Identyfikatory

DOI

10.4064/fm220-3-3