3 papers
math.DG2025
On the geometry of holomorphic curves and complex surface
Amanda Dias Falqueto, Farid Tari
We investigate the geometry of holomorphic curves and complex surfaces from the perspective of singularity theory. We show that, with a suitable choice of a complex bilinear symmet…
math.DG2021
On k-folding map-germs and hidden symmetries of surfaces in the Euclidean 3-space
G. Peñafort Sanchis, F. Tari
Let be a smooth surface in (or a complex surface in ) and be an integer. At any point on and for any plane in , we constru…
math.DG2019
Wave maps and constant curvature surfaces: singularities and bifurcations
David Brander, Farid Tari
Wave maps (or Lorentzian-harmonic maps) from a -dimensional Lorentz space into the -sphere are associated to constant negative Gaussian curvature surfaces in Euclidean 3-sp…