Classifying binary quadratic forms using Clifford invariants
Year: 2026
Type: preprint
Abstract: 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.
Source: arXiv (Cornell University)
Authors: Mondal, Soham, Balaji, T. E. Venkata
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7130732723
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