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Nov 19, 2021 at 18:36 comment added efs I'm not sure if it is related with the article you are looking for but I immediately thought of Rapaport's "Compactifications de l'espace de modules de Hilbert-Blumenthal" from 1978. (I know that he proves the existence of some scheme, with the words "rigid" and "Hilbert" in it, that Deligne and Ribet used for their construction of the p-adic L-function for totally real fields).
Nov 19, 2021 at 17:51 comment added Jackson Morrow Just a comment, in Conrad's paper on relative ampleness (math.stanford.edu/~conrad/papers/amplepaper.pdf) he discusses representability of the Hilbert and Quot functor as a rigid analytic space (see e.g., Theorem 4.1.3 of the linked paper).
Nov 19, 2021 at 17:01 history asked Antoine Ducros CC BY-SA 4.0