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math.AG2024
Subalgebra and Khovanskii bases equivalence
Colin Alstad, Michael Burr, Oliver Clarke +1
The main results of this paper establish a partial correspondence between two previously-studied analogues of Groebner bases in the setting of algebras: namely, subalgebra (aka SAG…
math.AG2024
Metric Multiview Geometry -- a Catalogue in Low Dimensions
Timothy Duff, Felix Rydell
We systematically compile an exhaustive catalogue of multiview varieties and anchored multiview varieties arising from projections of points and lines in 1, 2, and 3-dimensional pr…
math.AG2023
Algebra and Geometry of Camera Resectioning
Erin Connelly, Timothy Duff, Jessie Loucks-Tavitas
We study algebraic varieties associated with the camera resectioning problem. We characterize these resectioning varieties' multigraded vanishing ideals using Gröbner basis techniq…