ScalingStacks

Lemma 3.1. Let k=𝔽qk=\mathbb{F}_{q} or k=𝔽¯pk=\overline{\mathbb{F}}_{p}, then

HomDM⁡(k,ℚ)⁡(ℚ,ℚ⁡(m)​[n])={ℚ for ​n=m=0​ and0otherwise.\displaystyle\operatorname{Hom}_{\operatorname{DM}(k,\mathbb{Q})}(\mathbb{Q},\mathbb{Q}(m)[n])=\left\{\begin{array}[]{cl}\mathbb{Q}&\text{ for }n=m=0\text{ and}\\ 0&\text{otherwise.}\\ \end{array}\right.

Original mathematics by the credited authors. Source collection and HTML conversion remain in progress.

Jens Niklas Eberhardt, Catharina Stroppel

Original source: arXiv:2109.00305v2