3 problems

Let $k$ be a perfect $\mathbf{F}_p$-algebra and let $A$ be a smooth $k$-algebra. Let … be the fully faithful embedding of Theorem. Taking…

Let $\mathcal{C}$ be the realization target, let $L$ be its Tate object, and let $\nu(L^{\otimes *})$ be the filtered object induced by the slice tower. Write…

Let $k$ be a field, let $\mathcal{SH}(k)$ be its motivic stable homotopy category, and let $\mathrm{Re}\colon \mathcal{SH}(k)\to \mathcal{C}$ be an abstract realization functor. Le…