Local acyclicity in $p$-adic geometry
Also appears in collections : $p$-adic Langlands correspondence, Shimura varieties and perfectoids / Correspondance de Langlands $p$-adique, variétés de Shimura et perfectoïdes, The Fields Medallists
Motivated by applications to the geometric Satake equivalence and in particular the construction of the fusion product, we define a notion of universally locally acyclic for rigid spaces and diamonds, and prove that it has the expected properties.
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