On the structure and generic non-Cartesianity of polynomials in product spaces

Chun-Yen Shen, Tuyen Trung Truong, Wei-Hsuan Yu

We develop a general theory of Cartesian and non-Cartesian polynomials on products of complex spaces ${\mathbb{C}}^{n_1}\times \cdots \times {\mathbb{C}}^{n_k}$. We prove that, for an…