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This paper is dedicated to a further study of derived Azumaya algebras. Thefirst result we obtain is a Beauville-Laszlo-style property for such objects(considered up to Morita equivalence), which is consequence of a more generalBeauville-Laszlo kind of statement for quasi-coherent sheaves of categories.Next, we prove that given any (derived) scheme $X$, proper over the spectrum ofa quasi-excellent Henselian ring, the derived Brauer group of $X$ injects intothe one of the Henselization of $X$ along the base, generalizing a classicalresult of Grothendieck and a more recent theorem of Geisser-Morin. As aseparate application, we deduce that Grothendieck's existence theorem holds forthe stable $\infty$-categories of twisted sheaves even when the corresponding$\bbG_m$-gerbe does not satisfy the resolution property, offering animprovement of a result of Alper, Rydh and Hall.

GAGA problems for the Brauer group via derived geometry