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arXiv · 2110.09387

Gluing theory for slc surfaces and threefolds in positive characteristic

Quentin Posva
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Abstract

We develop a gluing theory in the sense of Koll\'{a}r for slc surfaces and threefolds in positive characteristic. For surfaces we are able to deal with every positive characteristic $p$, while for threefolds we assume that $p>5$. Along the way we study nodes in characteristic $2$ and establish a theory of sources and springs \`a la Koll\'{a}r for threefolds. We also give applications to the topology of lc centers on slc threefolds, and to the projectivity of the moduli space of stable surfaces in characteristic $p>5$.

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Quentin Posva. 2021-10-18. Gluing theory for slc surfaces and threefolds in positive characteristic. https://arxiv.org/abs/2110.09387

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