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

Anton Geraschenko; Dan Edidin; Matthew Satriano

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

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arxiv 1208.3239 v1 pith:3EBGMWLW submitted 2012-08-15 math.AG

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

Dan Edidin , Anton Geraschenko , Matthew Satriano This is my paper

classification math.AG

keywords artincyclesdegreedegreesstacksthereclosedcompatible

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

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

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