Finiteness of de Rham cohomology in rigid analysis.

DOI10.1215/S0012-7094-02-11312-XzbMath1057.14023arXiv1408.3327OpenAlexW2963567958MaRDI QIDQ1847924

Elmar Grosse-Klönne

Publication date: 27 October 2002

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.3327

zbMATH Keywords

rigid cohomologydagger spaces

Mathematics Subject Classification ID

de Rham cohomology and algebraic geometry (14F40) Rigid analytic geometry (14G22) (p)-adic cohomology, crystalline cohomology (14F30)

Related Items (11)

The Relative (de-)Perfectoidification Functor and Motivic p-Adic Cohomologies ⋮ THE p-COHOMOLOGY OF ALGEBRAIC VARIETIES AND SPECIAL VALUES OF ZETA FUNCTIONS ⋮ Frobenius and monodromy operators in rigid analysis, and Drinfel’d’s symmetric space ⋮ First covering of the Drinfel'd upper half-plane and Banach representations of \(\mathrm{GL}_2(\mathbb Q_p)\) ⋮ The de Rham-Fargues-Fontaine cohomology ⋮ Analytic cohomology of hyperplane arrangements ⋮ On the \(p\)-adic local invariant cycle theorem ⋮ Finiteness of rigid cohomology with coefficients ⋮ A p-adic analogue of the Borel regulator and the Bloch–Kato exponential map ⋮ Rationality and meromorphy of zeta functions ⋮ The Cech filtration and monodromy in log crystalline cohomology

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