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math.LO2023
Of model completeness and algebraic groups
Daniel Max Hoffmann, Piotr Kowalski, Chieu-Minh Tran +1
We show that if G is a split semisimple algebraic group over a model complete field K, then the groups G(K) and G(K)' (the commutator group which is a ``Chevalley group'' as for ex…
math.LO2023
Model Theory of Complex Numbers with Polynomial Functions
Benjamin Castle, Chieu-Minh Tran
Let be the set of complex numbers, and let be a collection of complex polynomial maps in several variables. Assuming at least one depends…