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arXiv:math/0602646 [math.AG]AbstractReferencesReviewsResources

Artin's axioms, composition and moduli spaces

Jason Michael Starr

Published 2006-02-28Version 1

We prove Artin's axioms satisfy a compatibility for composition of 1-morphisms of stacks in groupoids. Consequently, some natural stacks in groupoids are algebraic, including a common generalization of Vistoli's Hilbert stack and the stack of branchvarieties of Alexeev and Knutson.

Comments: 19 pages
Categories: math.AG
Subjects: 14A20, 14C05
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