72 citations · 221 across the 16 of their papers we have counts for
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math.AG2017★ 2 cited
-adic geometry
Peter Scholze
We discuss recent developments in -adic geometry, ranging from foundational results such as the degeneration of the Hodge-to-de Rham spectral sequence for "compact -adic mani…
math.AG2017
Etale cohomology of diamonds
Peter Scholze
Motivated by problems on the étale cohomology of Rapoport--Zink spaces and their generalizations, as well as Fargues's geometrization conjecture for the local Langlands corresponde…
math.AG2017★ 3 cited
Vanishing theorems for perverse sheaves on abelian varieties, revisited
Bhargav Bhatt, Christian Schnell, Peter Scholze
We revisit some of the basic results of generic vanishing theory, as pioneered by Green and Lazarsfeld, in the context of constructible sheaves. Using the language of perverse shea…