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math.LO2008
Diophantine Undecidability of Holomorphy Rings of Function Fields of Characteristic 0
Laurent Moret-Bailly, Alexandra Shlapentokh
Let be a one-variable function field over a field of constants of characteristic 0. Let be a holomorphy subring of , not equal to . We prove the following undecidabil…
math.LO2004★ 7 cited
Elliptic curves and Hilbert's tenth problem for algebraic function fields over real and p-adic fields
Laurent Moret-Bailly
Let k be a field of characteristic zero, V a smooth, positive-dimensional, quasiprojective variety over k, and D a nonempty effective divisor on V. Let K be the function field of V…