From the 1 of 4 linked papers with an AI index.
4 papers
Data-Driven Diffusion Processes on Differential Forms via the Projected Ambient Connection Laplacian
Alvaro Almeida Gomez, Jorge Duque Franco
We develop a data-driven approximation of the projected ambient connection Laplacian acting on differential forms over smooth Riemannian manifolds sampled by point clouds. The prop…
Automorphism groups of rigid complete intersections
Jorge Duque Franco, Alvaro Liendo, Ana Julisa Palomino
The paper studies automorphism groups of rigid complete intersections of hypersurfaces in projective space, proving that any automorphism extends to each defining hypersurface and…
Periods of join algebraic cycles
Jorge Duque Franco, Roberto Villaflor Loyola
We show, for all even and , that the moduli of smooth degree hypersurfaces of contains infinitely many different Hodge loci whos…
Hodge Laplacians and Hodge Diffusion Maps
Alvaro Almeida Gomez, Jorge Duque Franco
We introduce Hodge Diffusion Maps, a novel manifold learning algorithm designed to analyze and extract topological information from high-dimensional data-sets. This method approxim…