Artin's axioms, composition and moduli spaces

Details Artin's axioms, composition and moduli spaces Artin's axioms, composition and moduli spaces

2006-02-28

arxiv.org/abs/math/0602646v1

Mathematics

Algebraic Geometry

19 pages

Scientific paper

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.

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