Cohomology of Various Completions of Quasicoherent Sheaves on Affines
AUTOR(ES)
Laudal, Olav Arnfinn
RESUMO
Let O be a complete discrete valuation ring and let A be a commutative O-algebra. Let M be any A-module. In this paper, a class of completions M̃ on the affine X corresponding to A, which includes, e.g., the Washnitzer-Monsky completion [1], and the full completion is studied. We then prove that for all of these completions we have, Hi(X,M̃+) = O for i ≥ 1, H°(X,M̃+) = M+.
