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math.AG2024
Caustics by Refraction of Circles and Lines
Felix Rydell
This short note revisits the classical result that the complete caustic by refraction of a circle is the evolute of Cartesian ovals. We provide additional details to the statement…
math.AG2021★ 4 cited
Adjoints and Canonical Forms of Polypols
Kathlén Kohn, Ragni Piene, Kristian Ranestad +5
Polypols are natural generalizations of polytopes, with boundaries given by nonlinear algebraic hypersurfaces. We describe polypols in the plane and in 3-space that admit a unique…
math.AG2020★ 5 cited
Maximum Likelihood Estimation for Nets of Conics
Stefan Dye, Kathlén Kohn, Felix Rydell +1
We study the problem of maximum likelihood estimation for -dimensional linear spaces of symmetric matrices from the point of view of algebraic statistics where we vi…