Abstract
We consider diophantine subsets of function fields of curves and show, roughly speaking, that they are either very small or very large. In particular, this implies that the ring of polynomials is not a diophantine subset of the field of rational functions for many fields .
Citation
János Kollár. "Diophantine subsets of function fields of curves." Algebra Number Theory 2 (3) 299 - 311, 2008. https://doi.org/10.2140/ant.2008.2.299
Information