Classifying binary quadratic forms using Clifford invariants
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866912912743858176 |
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| author | Mondal, Soham Balaji, T. E. Venkata |
| author_facet | Mondal, Soham Balaji, T. E. Venkata |
| contents | We functorially identify similarity classes of line-bundle-valued quadratic forms on rank two vector bundles with isomorphism classes of pairs consisting of the degree zero and the degree one parts of the associated generalized Clifford algebras. As applications, we generalize the Gauss Composition and explore connections with Picard groups of quadratic algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_16815 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Classifying binary quadratic forms using Clifford invariants Mondal, Soham Balaji, T. E. Venkata Algebraic Geometry Commutative Algebra Number Theory 11E16, 11E88, 13C20, 14C22, 15A66, 16D70 We functorially identify similarity classes of line-bundle-valued quadratic forms on rank two vector bundles with isomorphism classes of pairs consisting of the degree zero and the degree one parts of the associated generalized Clifford algebras. As applications, we generalize the Gauss Composition and explore connections with Picard groups of quadratic algebras. |
| title | Classifying binary quadratic forms using Clifford invariants |
| topic | Algebraic Geometry Commutative Algebra Number Theory 11E16, 11E88, 13C20, 14C22, 15A66, 16D70 |
| url | https://arxiv.org/abs/2602.16815 |