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math.LO2023
Order one differential equations on nonisotrivial algebraic curves
Taylor Dupuy, James Freitag
In this paper we provide new examples of geometrically trivial strongly minimal differential algebraic varieties living on nonisotrivial curves over differentially closed fields of…
math.LO2023
The Theory of the Entire Algebraic Functions
Taylor Dupuy, Ehud Hrushovski
Let A be the integral closure of the ring of polynomials CC[t], within the field of algebraic functions in one variable. We show that A interprets the ring of integers. This contra…