Smoothings of lci proper schemes
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866909724798091264 |
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| author | Fantechi, Barbara Miró-Roig, Rosa M. |
| author_facet | Fantechi, Barbara Miró-Roig, Rosa M. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_04343 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Smoothings of lci proper schemes Fantechi, Barbara Miró-Roig, Rosa M. Algebraic Geometry 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. |
| title | Smoothings of lci proper schemes |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2508.04343 |