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20242026
most citedAlmost coherent modules and almost coherent sheaves

1 citations · 1 across the 2 of their papers we have counts for

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4 papers

math.AG2026★ 1 cited

Almost coherent modules and almost coherent sheaves

Bogdan Zavyalov

We review the theory of almost coherent modules that was introduced in "Almost Ring Theory" by Gabber and Ramero. Then we globalize it by developing a new theory of almost coherent…

math.AG2026

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 appl…

math.AG2025

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…

math.AG2024

Lefschetz theorems in flat cohomology and applications

Sean Cotner, Bogdan Zavyalov

We prove a version of the Lefschetz hyperplane theorem for fppf cohomology with coefficients in any finite commutative group scheme over the ground field. As consequences, we estab…