nLab
Lefschetz motive

There exists a motive L\mathbf{L}, called the Lefschetz motive, such that the motive of the projective line decomposes as

h(P k 1)=h(Spec(k))Lh(\mathbf{P}^1_k) = h(\Spec(k)) \oplus \mathbf{L}

Formally inverting the Lefschetz motive in the category of effective pure motives yields the category of pure motives.

Created on May 30, 2013 at 14:02:58. See the history of this page for a list of all contributions to it.