Cohomological descent on the overconvergent site
David Zureick-Brown
TL;DR
This paper proves that cohomological descent applies to finitely presented crystals on the overconvergent site when using proper or fppf hypercovers, advancing the understanding of p-adic cohomology theories.
Contribution
It establishes cohomological descent for finitely presented crystals on the overconvergent site under specific hypercover conditions, a novel result in p-adic geometry.
Findings
Cohomological descent holds for finitely presented crystals.
Descent applies to proper hypercovers.
Descent applies to fppf hypercovers.
Abstract
We prove that cohomological descent holds for finitely presented crystals on the overconvergent site with respect to proper or fppf hypercovers.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory