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There is no degree map for 0-cycles on Artin stacks |
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| Authors: | Dan Edidin Anton Geraschenko Matthew Satriano |
| Affiliation: | 1. Department of Mathematics, University of Missouri, Columbia, MO, 65211, USA 2. Department of Mathematics, Mathematics 253-37, California Institute of Technology, Pasadena, CA, 91125, USA 3. Department of Mathematics, University of Michigan, 2074 East Hall, Ann Arbor, MI, 48109-1043, USA |
| 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. |
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