Finiteness of coherent cohomology for proper 𝑓𝑝𝑝𝑓 stacks
Author:
Abstract
We prove the result in the title for Noetherian fppf stacks, avoiding the use of Chow’s lemma. Instead we employ simplicial schemes and shrinking-methods.
Publisher
American Mathematical Society (AMS)
Subject
Geometry and Topology,Algebra and Number Theory
Reference3 articles.
1. GR L.Gruson, M.Raynaud, Critères de platitude et de projectivité, Inv. math. 13(1971), 1-89
2. K R.Kiehl, Theorem A und Theorem B in der nichtarchimedischen Funktionentheorie, Inv. math. 2(1967), 256-273
3. LM G.Laumon, L.Moret-Bailly, Champs algébriques, Springer-Verlag, Berlin, 2000
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