Non-Archimedean Nevanlinna theory in several variables and the non-Archimedean Nevanlinna inverse problem
Non-Archimedean Nevanlinna theory in several variables and the non-Archimedean Nevanlinna inverse problem
Cartan’s method is used to prove a several variable, non-Archimedean, Nevanlinna Second Main Theorem for hyperplanes in projective space. The corresponding defect relation is derived, but unlike in the complex case, we show that there can only be finitely many non-zero non-Archimedean defects. We then address the non-Archimedean Nevanlinna inverse …