English

Smoothings of lci proper schemes

Algebraic Geometry 2025-08-07 v1

Abstract

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

Keywords

Cite

@article{arxiv.2508.04343,
  title  = {Smoothings of lci proper schemes},
  author = {Barbara Fantechi and Rosa M. Miró-Roig},
  journal= {arXiv preprint arXiv:2508.04343},
  year   = {2025}
}