The modified log Manin conjecture for geometrically A1\mathbb A^1A1-connected varieties
Let (X‾,Δ)(\underline{X},\Delta)(X,Δ) be a log pair and set U‾=X‾∖Supp(Δ)\underline{U}=\underline{X}\setminus\operatorname{Supp}(\Delta)U=X∖Supp(Δ). Assume that U‾\underline{U}U is geometrically A1\mathbb A^1A1-con…