Keywords

#artin's_criterion

Artin's criterion

In mathematics, Artin's criteria are a collection of related necessary and sufficient conditions on deformation functors which prove the representability of these functors as either Algebraic spaces or as Algebraic stacks. In particular, these conditions are used in the construction of the moduli stack of elliptic curves and the construction of the moduli stack of pointed curves.

Sat 12th

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Artin's criterion Artin approximation theorem Moduli space Algebraic stack Weil's criterion Schlessinger's theorem Fibred category Local criterion for flatness Glossary of number theory Coxeter–Dynkin diagram
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