Finiteness of coherent cohomology for proper $\text {fppf}$ stacks
Author:
Gerd Faltings
Journal:
J. Algebraic Geom. 12 (2003), 357-366
DOI:
https://doi.org/10.1090/S1056-3911-02-00321-1
Published electronically:
September 18, 2002
MathSciNet review:
1949648
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Abstract |
References |
Additional Information
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.
GR L.Gruson, M.Raynaud, Critères de platitude et de projectivité, Inv. math. 13(1971), 1-89
K R.Kiehl, Theorem A und Theorem B in der nichtarchimedischen Funktionentheorie, Inv. math. 2(1967), 256-273
LM G.Laumon, L.Moret-Bailly, Champs algébriques, Springer-Verlag, Berlin, 2000
GR L.Gruson, M.Raynaud, Critères de platitude et de projectivité, Inv. math. 13(1971), 1-89
K R.Kiehl, Theorem A und Theorem B in der nichtarchimedischen Funktionentheorie, Inv. math. 2(1967), 256-273
LM G.Laumon, L.Moret-Bailly, Champs algébriques, Springer-Verlag, Berlin, 2000
Additional Information
Gerd Faltings
Affiliation:
Max-Planck-Institut für Mathematik, Vivatsgasse 7, 53111 Bonn, Germany
Email:
gerd@mpim-bonn.mpg.de
Received by editor(s):
November 2, 2000
Published electronically:
September 18, 2002
