2 papers
math.AG2026
A counterexample to Purdy's inequality for hyperplane arrangements in projective three-space
Mateusz MichaÅek, Piotr Pokora
We record an explicit counterexample to a refined form of Purdy's inequality for essential hyperplane arrangements in projective three-space. Let be an arrangement of…
math.AC2025
Polynomial systems admitting a simultaneous solution
Austin Conner, Mateusz Michalek, Michael Schindler +1
We provide a complete description of the ideal that serves as the resultant ideal for n univariate polynomials of degree d. We in particular describe a set of generators of this re…