Advanced Search

For a proper local embedding between two Deligne-Mumford stacks $Y$ and $X$, we find, under certain mild conditions, a new (possibly non-separated) Deligne-Mumford stack $X^{\text{'}}$, with an etale, surjective and universally closed map to the target $X$, and whose fiber product with the image of the local embedding is a finite union of stacks with corresponding etale, surjective and universally closed maps to $Y$. Moreover, a natural set of weights on the substacks of $X^{\text{'}}$ allows the construction of a universally closed...