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math.AG2026
Algebraic Distance Optimization in Polyhedral Norms
Eliana Duarte, Nidhi Kaihnsa, Julia Lindberg +2
We consider the distance minimization problem to a real algebraic variety $X \subseteq \RR^n$ when the metric is induced by a polyhedral norm. Each point in the variety has a Voron…
math.AG2018★ 5 cited
Coordinate-wise Powers of Algebraic Varieties
Papri Dey, Paul Görlach, Nidhi Kaihnsa
We introduce and study coordinate-wise powers of subvarieties of , i.e. varieties arising from raising all points in a given subvariety of to the -t…
math.AG2017★ 5 cited
Sixty-Four Curves of Degree Six
Nidhi Kaihnsa, Mario Kummer, Daniel Plaumann +2
We present a computational study of smooth curves of degree six in the real projective plane. In the Rokhlin-Nikulin classification, there are 56 topological types, refined into 64…