Equation 10.24.15FC9FBF94E6A4

\[\begin{aligned}\begin{gather} K_ Y=\pi ^*K_ X+\sum _ jb_ jD_ j,\qquad \pi ^*\mathrm{d}V_ X=\prod _ j|\sigma _ j|^{2b_ j}\mathrm{d}V_ Y. \end{gather}\end{aligned}\]