On formal non-commutative deformations of smooth varieties
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909208791744512 |
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| author | Kawamata, Yujiro |
| author_facet | Kawamata, Yujiro |
| contents | We will develop a formal non-commutative (NC) deformation theory of smooth algebraic varieties $X$ defined over a field $k$, and describe a semi-universal deformation where the tangent space $T^1$ and the obstruction space $T^2$ are given as subspaces of Hochschild cohomology groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_15685 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On formal non-commutative deformations of smooth varieties Kawamata, Yujiro Algebraic Geometry 14D15, 16E40 We will develop a formal non-commutative (NC) deformation theory of smooth algebraic varieties $X$ defined over a field $k$, and describe a semi-universal deformation where the tangent space $T^1$ and the obstruction space $T^2$ are given as subspaces of Hochschild cohomology groups. |
| title | On formal non-commutative deformations of smooth varieties |
| topic | Algebraic Geometry 14D15, 16E40 |
| url | https://arxiv.org/abs/2402.15685 |