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

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

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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Veröffentlicht in:Transformation groups 2013-06, Vol.18 (2), p.385-389
Hauptverfasser: Edidin, Dan, Geraschenko, Anton, Satriano, Matthew
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Lie Groups
Mathematics
Mathematics and Statistics
Topological Groups
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Beschreibung
Zusammenfassung: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.
ISSN:1083-4362
1531-586X
DOI:10.1007/s00031-013-9225-x