A six-functor formalism for syntomic cohomology

Niklas Kipp

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arXiv · 2608.15744

A six-functor formalism for syntomic cohomology

Niklas Kipp

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Abstract

We construct a six-functor formalism for syntomic cohomology of p-adic formal schemes. This, in particular, generalizes Poincar\'e duality to general smooth morphisms.

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Niklas Kipp. 2026-08-16. A six-functor formalism for syntomic cohomology. https://arxiv.org/abs/2608.15744

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