“…In contrast to this, there are only results in small dimensions, [1,2,3,4,5,6,23,25,26,33,35,36,54,58,67,71], or for special cases, [9,12,14,15,24,29,70,92], in positive or mixed characteristic. For threefolds, Cossart and Piltant proved the existence of a global birational model X ′ → X without an embedding (first over differentially finite fields [27,28] and then in the arithmetic case [29,30,31]).…”