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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…
math.AG2024
Faster computation of Whitney stratifications and their minimization
Martin Helmer, Rafael Mohr
We describe two new algorithms for the computation of Whitney stratifications of real and complex algebraic varieties. The first algorithm is a modification of the algorithm of Hel…