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Gersten resolution

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Idea

The Gersten resolution or Gersten complex is certain exact sequence of abelian sheaves on a Zariski site, used for the computation of higher algebraic K-theory groups. One way of deriving it is from a spectral sequence related to the study of motivic sheaves.

The exactness of the Gersten complex for affine regular, equicharacteristic excellent local rings with infinite residue field (or the like) is also known as the Gersten conjecture (see e.g. Kerz 08, p. 4).

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