Faltings' annihilator theorem
id:
faltings-annihilator-theorem-314-15317351
title:
Faltings' annihilator theorem
text:
In abstract algebra, Faltings' annihilator theorem states: given a finitely generated module M over a Noetherian commutative ring A and ideals I, J, the following are equivalent: depth M p + ht / p ≥ n for any p ∈ Spec − V ,
there is an ideal b in A such that b ⊃ J and b annihilates the local cohomologies H I i , 0 ≤ i ≤ n − 1 , provided either A has a dualizing complex or is a quotient of a regular ring. The theorem was first proved by Faltings in.
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https://en.wikipedia.org/wiki/Faltings%27_annihilator_theorem
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date modified:
2023-08-12T22:49:24Z
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