Some components of the moduli space of Koszul Artin-Schelter regular algebras of dimension four
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866914151229554688 |
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| author | Bhatoy, Vishal Ingalls, Colin LaRoche, Félix Nookala, Ravali |
| author_facet | Bhatoy, Vishal Ingalls, Colin LaRoche, Félix Nookala, Ravali |
| contents | We compute the Hochschild cohomology and the Kodaira spencer map for known families of Koszul Artin-Schelter regular algebras of dimension four. We show that when the Kodaira Spencer map at a point is a surjection, the image of the family is a component of the moduli stack of such algebras, and when the Kodaira Spencer map is a bijection, the map to the moduli stack is generically finite. We use this to identify some components of the moduli stack. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_08390 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Some components of the moduli space of Koszul Artin-Schelter regular algebras of dimension four Bhatoy, Vishal Ingalls, Colin LaRoche, Félix Nookala, Ravali Rings and Algebras Algebraic Geometry Quantum Algebra 16S80, 16S38 We compute the Hochschild cohomology and the Kodaira spencer map for known families of Koszul Artin-Schelter regular algebras of dimension four. We show that when the Kodaira Spencer map at a point is a surjection, the image of the family is a component of the moduli stack of such algebras, and when the Kodaira Spencer map is a bijection, the map to the moduli stack is generically finite. We use this to identify some components of the moduli stack. |
| title | Some components of the moduli space of Koszul Artin-Schelter regular algebras of dimension four |
| topic | Rings and Algebras Algebraic Geometry Quantum Algebra 16S80, 16S38 |
| url | https://arxiv.org/abs/2511.08390 |