Discrete Invariants 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: |
2026
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| _version_ | 1866911446766452736 |
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| author | Bhatoy, Vishal Ingalls, Colin |
| author_facet | Bhatoy, Vishal Ingalls, Colin |
| contents | We compute the superpotentials for known families of Koszul Artin-Schelter regular algebras of dimension four using Magma, and apply Schur-Weyl duality from representation theory to determine the relevant invariants. Through the Borel-Weil theorem, we interpret these invariants as sections of line bundles over partial flag varieties, resulting in geometric invariants that, in some cases, correspond to K3 surfaces. We compute discrete invariants of these geometric invariants and use them to distinguish algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_13178 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Discrete Invariants of Koszul Artin-Schelter Regular Algebras of Dimension four Bhatoy, Vishal Ingalls, Colin Rings and Algebras Algebraic Geometry Quantum Algebra 16S38, 16S80 We compute the superpotentials for known families of Koszul Artin-Schelter regular algebras of dimension four using Magma, and apply Schur-Weyl duality from representation theory to determine the relevant invariants. Through the Borel-Weil theorem, we interpret these invariants as sections of line bundles over partial flag varieties, resulting in geometric invariants that, in some cases, correspond to K3 surfaces. We compute discrete invariants of these geometric invariants and use them to distinguish algebras. |
| title | Discrete Invariants of Koszul Artin-Schelter Regular Algebras of Dimension four |
| topic | Rings and Algebras Algebraic Geometry Quantum Algebra 16S38, 16S80 |
| url | https://arxiv.org/abs/2602.13178 |