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math.MG2022
An overview of complex ellipsoids
Jorge Luis Arocha, Javier Bracho, Luis Montejano
An ellipsoid is the image of a ball under an affine transformation. If this affine transformation is over the complex numbers, we refer to it as a complex ellipsoid. Characterizati…
math.MG2022
Reflections of convex bodies and their sections
Jorge L. Arocha, Javier Bracho, Luis Montejano
The purpose of this paper is to study the reflections of a convex body. In particular, we are interested in orthogonal reflections of its sections that can be extended to reflectio…