On proper coverings of Artin stacks

DOI10.1016/j.aim.2004.08.017zbMath1084.14004OpenAlexW2054497270MaRDI QIDQ2577482

Martin C. Olsson

Publication date: 22 December 2005

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2004.08.017

zbMATH Keywords

morphismscoherent sheavesChow's lemmaGrothendieck existence theorem

Mathematics Subject Classification ID

Étale and other Grothendieck topologies and (co)homologies (14F20) Formal methods and deformations in algebraic geometry (14D15) Generalizations (algebraic spaces, stacks) (14A20)

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Cites Work

• Unnamed Item
• Unnamed Item
• Algebraic spaces
• Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
• Seminar of algebraic geometry du Bois-Marie 1963--1964. Topos theory and étale cohomology of schemes (SGA 4). Vol. 1: Topos theory. Exp. I--IV
• Compactifying the space of stable maps
• Quot Functors for Deligne-Mumford Stacks
• Finiteness of coherent cohomology for proper 𝑓𝑝𝑝𝑓 stacks