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math.AG2023
Poincaré Duality in abstract 6-functor formalisms
Bogdan Zavyalov
We study Poincaré Duality in the context of abstract 6-functor formalisms. In particular, we give a small and simple list of assumptions that implies Poincaré Duality. As an applic…
math.AG2023
Arithmetic Properties Of -adic Étale Cohomology and Nearby Cycles of Rigid-Analytic Spaces
David Hansen, Bogdan Zavyalov
We prove a number of results on the étale cohomology of rigid analytic varieties over -adic non-archimedean local fields. Among other things, we establish bounds for Frobenius e…