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There is no degree map for 0-cycles on Artin stacks

Edidin, Dan and Geraschenko, Anton and Satriano, Matthew (2013) There is no degree map for 0-cycles on Artin stacks. Transformation Groups, 18 (2). pp. 385-389. ISSN 1083-4362. https://resolver.caltech.edu/CaltechAUTHORS:20130703-100610634

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Abstract

We show that there is no way to define degrees of 0-cycles on Artin stacks with proper good moduli spaces so that (1) the degree of an ordinary point is non-zero, and (1) degrees are compatible with closed immersions.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1007/s00031-013-9225-xDOIUNSPECIFIED
http://link.springer.com/article/10.1007/s00031-013-9225-xPublisherUNSPECIFIED
Additional Information:© 2013 Birkhäuser Boston. Received December 4, 2012. Accepted January 25, 2013. Published online May 8, 2013. We would like to thank Tom Graber, who got the second and third authors interested in this problem, and skillfully disposed of many proposed definitions of degree. We are also grateful to BIRS and to the organizers of the Algebraic Stacks: Progress and Prospects workshop, where much of the work on this paper was done. Finally, the authors are grateful to the referee for a number of insightful comments. Supported by an NSF postdoctoral fellowship (DMS-1103788).
Funders:
Funding AgencyGrant Number
NSF postdoctoral fellowshipDMS-1103788
Issue or Number:2
Record Number:CaltechAUTHORS:20130703-100610634
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20130703-100610634
Official Citation:There is no degree map for 0-cycles on Artin stacks Dan Edidin, Anton Geraschenko, Matthew Satriano Pages 385-389
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:39204
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:03 Jul 2013 17:28
Last Modified:03 Oct 2019 05:05

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