ScalingStacks

The $\mathcal{I}^{\prime}$-cube $V_{D_{1}}$ contains $V_{D}$ and $V_{D_{2}}$ as subcubes of codimension $1.$ Namely, we have canonical isomorphisms

	$\displaystyle V_{D_{1}}(\ast 0)$	$\displaystyle\cong$	$\displaystyle V_{D_{2}}$		(75)
	$\displaystyle V_{D_{1}}(\ast 1)$	$\displaystyle\cong$	$\displaystyle V_{D}\{-1\}$		(76)