2 papers
math.AC2026
A Counterexample to the Global Injectivity of a Jacobian Mapping in \mathbb{C}^5 and Its Analytical Roots
Sergey Sverchkov
We study a specific polynomial mapping G: \mathbb{C}^5 \to \mathbb{C}^5 induced by a homogeneous polynomial F of degree 6 consisting of four tridiagonal harmonic blocks. We prove t…
math.RA2022
New elements in the center of free alternative algebra
Ivan Shestakov, Sergey Sverchkov
A new series of central elements is found in the free alternative algebra. More exactly, let and be the free alternative algebra and the free spec…