The v-adic period relation lifting conjecture for t-motives
Let K:=Fq(θ)K:=\mathbb{F}_{q}(\theta)K:=Fq(θ) be the rational function field, let Kv(θ)K_{v(\theta)}Kv(θ) be its completion at the place v(θ)v(\theta)v(θ), and let K(t)vK(t)_{v}K(t)v and Ksep[t]vK^{\mathrm{sep}}[t]_{v}Ksep[t]v be…