On the span invariant for cubic similarity
Volume 76 / 2001
Annales Polonici Mathematici 76 (2001), 113-119
MSC: Primary 14R15.
DOI: 10.4064/ap76-1-11
Abstract
Given a real $n\times n$ matrix $A$, we make some conjectures and prove partial results about the range of the function that maps the $n$-tuple $x$ into the entrywise $k$th power of the $n$-tuple $Ax$. This is of interest in the study of the Jacobian Conjecture.
