@article{AIF_2009__59_5_2103_0, author = {Moret-Bailly, Laurent and Shlapentokh, Alexandra}, title = {Diophantine {Undecidability} of {Holomorphy} {Rings} of {Function} {Fields} of {Characteristic~0}}, journal = {Annales de l'Institut Fourier}, pages = {2103--2118}, year = {2009}, publisher = {Association des Annales de l'Institut Fourier}, volume = {59}, number = {5}, doi = {10.5802/aif.2484}, mrnumber = {2573198}, zbl = {1226.11131}, language = {en}, url = {https://www.numdam.org/articles/10.5802/aif.2484/} }