Counting Rational Points on the Stacky ${\mathrm{Sym}}^2{\mathbb{P}}^1$

John Yin

We prove the weak form of the generalized Batyrev-Manin-Malle conjecture formulated in \cite{ellenberg2021heights} for the stack $\operatorname{Sym}^2\mathbb{P}^1 := (\mathbb{P}^1…