Smoothings of lci proper schemes

2025/08/06 by Barbara Fantechi, Fantechi, Barbara, Rosa M. Miró-Roig +1 · 1 voice
#math.AG

paper · pdf · doi:10.48550/arxiv.2508.04343

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.

Citations

• Deformations of semi-smooth varieties
• Stable varieties with a twist

Discussions

• Love it. We did So Many Difficult Calculations. arxiv.org/abs/2508.04343 [bsky, 4 points, 0 comments]

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