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math.LO2023
One-dimensional subgroups and connected components in non-abelian -adic definable groups
Will Johnson, Ningyuan Yao
We generalize two of our previous results on abelian definable groups in -adically closed fields to the non-abelian case. First, we show that if is a definable group that is…
math.LO2023
Curve-excluding fields
Will Johnson, Jinhe Ye
If is a curve over with genus at least and is empty, then the class of fields of characteristic 0 such that has a mode…