The basic geometry of Witt vectors

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The prismatization of $p$-adic formal schemes (2022, background): “When X is Zp-flat, the data of a δ-structure on X is equivalent to that of a Frobenius lift; in general, this theory is studied in [4].”
Lambda-rings and the field with one element (2009, background): “And since the foundational papers [6][7] owe their existence to the present paper, perhaps they also owe some of it to him.”
The basic geometry of Witt vectors, I: The affine case (2008, methodology): “The main point here and in the companion paper [Borger 2010] is to set up a framework for that.”