Artin's axioms, composition and moduli spaces

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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.
19 pages

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Algebraic Geometry, 14A20; 14C05

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http://salesiana.dossiersoluciones.com/handle/123456789/109144

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0602646
 http://arxiv.org/abs/math/0602646

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arXiv