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Gluing for stable families of surfaces in mixed characteristic (2110.09845v4)
Published 19 Oct 2021 in math.AG
Abstract: We study the normalizations of non-normal stable families of slc surfaces over an excellent DVR. In mixed characteristic, we establish a gluing statement that is relevant for the properness of the moduli space of such surfaces. We also study the fibers of such glued families, in mixed and equi-characteristic, and provide an essential result for slc adjunction in residue characteristic >5.
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