Open AccessFiniteness of coherent cohomology for proper ๐๐๐๐ stacks
Author(s) -
G Faltings
Publication year - 2002
Publication title -
journal of algebraic geometry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.824
H-Index - 50
eISSN - 1534-7486
pISSN - 1056-3911
DOI - 10.1090/s1056-3911-02-00321-1
Subject(s) - mathematics , lemma (botany) , noetherian , local cohomology , cohomology , pure mathematics , algebra over a field , finitely generated abelian group , botany , poaceae , biology
We prove the result in the title for Noetherian fppf stacks, avoiding the use of Chowโs lemma. Instead we employ simplicial schemes and shrinking-methods.