Equation 20.3.69F060F71204CB

\begin{equation} \int _ Y\mathrm{MA}^{\mathrm{ext}}_\beta (q) =\int _ Y\beta ^2+2\int _ Yq\, \mathrm{dd}^{\mathrm{c}}\beta =2\int _{\mathbb P^1}a(kw+\mathrm{dd}^{\mathrm{c}}q_0). \end{equation}