All rings of S-integers are universally definable in function fields over certain base fields, with complements shown to be Diophantine sets via a new reciprocity sequence for quadratic Witt groups.
Hilbert’s tenth problem for algebra ic func- tion fields over infinite fields of constants of positive characteristic
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Universally defining subrings in function fields
All rings of S-integers are universally definable in function fields over certain base fields, with complements shown to be Diophantine sets via a new reciprocity sequence for quadratic Witt groups.