D-finiteness, rationality, and height III: multivariate Pólya-Carlson dichotomy

Jason P. Bell, Shaoshi Chen, Khoa D. Nguyen +1

We prove a result that can be seen as an analogue of the Pólya-Carlson theorem for multivariate D-finite power series with coefficients in $\bar{\mathbb{Q}}$. In the special case t…