Research Paper#p-adic Geometry, Etale Cohomology, Poincaré Duality🔬 ResearchAnalyzed: Jan 3, 2026 06:34
Mod p Poincaré Duality in p-adic Geometry
Published:Dec 31, 2025 18:29
•1 min read
•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.
Key Takeaways
- •Introduces a new class of rigid analytic varieties satisfying mod p Poincaré duality.
- •Applies the results to almost proper varieties and p-adic period domains.
- •Generalizes existing computations of étale cohomology for p-adic period domains.
- •Relies on Mann's six functors formalism for solid coefficients.
Reference
“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.”