3 papers
math.AG2026
On the Structure of Radical Towers and their Parametrizations
Javier Sendra-Arranz, Juan Rafael Sendra, Juana Sendra
Radical parametrizations describe algebraic varieties by means of nested radicals of polynomials, and their theory relies on three varieties associated with a parametrization: the…
math.AG2025
Hilbert schemes of points on fold-like curves and their combinatorics
Ángel David Ríos Ortiz, Javier Sendra-Arranz
We investigate the Hilbert scheme of points on curves with n-fold singularities, that is curves that look locally around their singular points as the axis in an affine space. We de…
math.AG2022
Recovery of Plane Curves from Branch Points
Daniele Agostini, Hannah Markwig, Clemens Nollau +3
We recover plane curves from their branch points under projection onto a line. Our focus lies on cubics and quartics. These have 6 and 12 branch points respectively. The plane Hurw…