Good moduli spaces for Artin stacks

Alper, Jarod

Annales de l'Institut Fourier, Tome 63 (2013) no. 6, pp. 2349-2402.

Nous développons une théorie qui associe des espaces de modules ayant de bonnes propriétés géométriques des champs d’Artin arbitraires, généralisant ainsi la théorie géométrique des invariants de Mumford et les « champs modérés ».

We develop the theory of associating moduli spaces with nice geometric properties to arbitrary Artin stacks generalizing Mumford’s geometric invariant theory and tame stacks.

Classification : 14L24, 14L30, 14J15
Keywords: Artin stacks, geometric invariant theory, moduli spaces
Mot clés : champs d’Artin, théorie géométrique des invariants, espaces de modules

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