3 papers
cs.SC2025
On the Computation of Newton Polytopes of Eliminants
Rafael Mohr, Yulia Mukhina
For systems of polynomial equations, we study the problem of computing the Newton polytope of their eliminants. As was shown by Esterov and Khovanskii, such Newton polytopes are mi…
math.AG2024
Wronski Pairs of Honeycomb Curves
Laura Casabella, Michael Joswig, Rafael Mohr
We study certain generic systems of real polynomial equations associated with triangulations of convex polytopes and investigate their number of real solutions. Our main focus is s…
cs.SC2024
A Syzygial Method for Equidimensional Decomposition
Rafael Mohr
Based on a theorem by Vasconcelos, we give an algorithm for equidimensional decomposition of algebraic sets using syzygy computations via Gröbner bases. This algorithm avoids the u…