Mod p Poincaré Duality in p-adic Geometry

Research Paper#p-adic Geometry, Etale Cohomology, Poincaré Duality🔬 Research|Analyzed: Jan 3, 2026 06:34
Published: Dec 31, 2025 18:29
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ArXiv

Analysis

This paper introduces a new class of rigid analytic varieties over a p-adic field that exhibit Poincaré duality for étale cohomology with mod p coefficients. The significance lies in extending Poincaré duality results to a broader class of varieties, including almost proper varieties and p-adic period domains. This has implications for understanding the étale cohomology of these objects, particularly p-adic period domains, and provides a generalization of existing computations.
Reference / Citation
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"The paper shows that almost proper varieties, as well as p-adic (weakly admissible) period domains in the sense of Rappoport-Zink belong to this class."
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ArXivDec 31, 2025 18:29
* Cited for critical analysis under Article 32.