3 citations · 3 across the 10 of their papers we have counts for
14 papers
Generalizing quadratic -Algebraic sets in
Javier Bracho, Luis Montejano
Motivated by our study of the complex Banach conjecture, we characterize a complex ellipsoids as compact subsets of , with the property that every complex…
Harmonic curves and the beauty of Projective Geometry
José Luis Abreu, Javier Bracho
The purpose of this paper is to present projective geometry in a synthetic, visual and intuitive style through the central notion of harmonicity which leads to harmonic curves. Thi…
The 10 antipodal pairings of strongly involutive polyhedra
Javier Bracho, Eric Paulí Pérez, Luis Montejano +1
It is known that strongly involutive polyhedra are closely related to self-dual maps where the antipodal function acts as duality isomorphism. Such a family of polyhedra appears in…
Complex homothetic sections and projections through a Helly type Theorem for cosets of
Jorge Luis Arocha, Javier Bracho, Luis Montejano
We prove that two closed subsets of complex space $\C^n$ with corresponding complex homothetic sections (projections) are complex homothetic. The proof uses a new Helly-type theore…
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…
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…