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arXiv · 2508.04343

Smoothings of lci proper schemes

Barbara Fantechi·Rosa M. Miró-Roig
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Abstract

We give criteria for the existence of geometric smoothings of a proper lci scheme or a DM stack $X$ as well as for a polarized lci scheme $(X,L)$, without assuming that $X$ is reduced. As applications, we give criteria for the smoothability of polarized K3 surfaces and of stable varieties.

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Barbara Fantechi, Rosa M. Miró-Roig. 2025-08-06. Smoothings of lci proper schemes. https://arxiv.org/abs/2508.04343

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