2 papers
math.CV2025
On planar harmonic functions with identical Jacobians
Ivan Nikitin
This note provides a complete description of a family of sense preserving harmonic functions in the open unit disk that have the same Jacobians, provided that one of the representa…
math.AG2024
Effective membership problem and systems of polynomial equations with multiple roots
Ivan Nikitin
For a tuple of convex polytopes we solve the so-called effective membership problem, i.e. for a tuple of polynomials satisfying some…