I've heard/read it said many times that "the good notion of quasi-coherent sheaf for complex manifolds is that of a *Fréchet* quasi-coherent sheaf", and the standard citation to which I've been pointed is Eschmeier and Putinar's book [_Spectral Decompositions And Analytic Sheaves_](https://doi.org/10.1093/oso/9780198536673.001.0001).

There, in Section 4.6, we find the following quote (emphasis mine):

> The literature concerning quasi-coherent analytic Fréchet sheaves **is not so plentiful**, and **is always related to concrete applications**. We mention only the article of Ramis and Ruget (1974), where this class of sheaves was introduced, and a monograph on deformation theory by Bingener and Kosarew (1987) where this class of sheaves is used for other applications.

The article of Ramis and Ruget is "[Résidus et dualité](https://doi.org/10.1007/BF01435691)", and the one of Bingener and Kosarew is _Lokale Modulräume in der analytischen Geometrie, Volume 2_ (ISBN: 3528063017).
The latter is a ~700 page book in German, and the combination of the length and language make it a... difficult reference for me to get much out of. This is particularly annoying because I would love to know about the "other applications" for which they use quasi-coherent analytic sheaves.

**Question.**
Are there any "modern" references for the theory of quasi-coherent analytic sheaves?

I have also been told a few times that the theory of condensed/liquid things can provide a different approach, avoiding the need for quasi-coherent analytic sheaves, but I've never found a reference that explains why this is so (in particular, this would count as a "modern" reference for quasi-coherent analytic sheaves).