J. M. Rojas

collaborators

2 papers

math.AG2024

Viro's patchworking and the signed reduced A-discriminant

Weixun Deng, J. Maurice Rojas, Máté L. Telek

Computing the isotopy type of a hypersurface, defined as the positive real zero set of a multivariate polynomial, is a challenging problem in real algebraic geometry. We focus on t…

math.AG2019

A Faster Solution to Smale's 17th Problem I: Real Binomial Systems

Grigoris Paouris, Kaitlyn Phillipson, J. Maurice Rojas

Suppose $F := (f_{1}, \dots, f_{n})$ is a system of random $n$ -variate polynomials with $f_{i}$ having degree $\leq d_{i}$ and the coefficient of $x_{1}^{a_{1}} \dots x_{n}^{a_{n}}$ in $f_{i}$ being a…