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arXiv · 2110.09845

Gluing for stable families of surfaces in mixed characteristic

Quentin Posva
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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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Quentin Posva. 2021-10-19. Gluing for stable families of surfaces in mixed characteristic. https://arxiv.org/abs/2110.09845

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