Points and topologies in rigid geometry

DOI10.1007/BF01444488zbMath0867.11049OpenAlexW1998913330MaRDI QIDQ1893225

Marius van der Put, Peter Schneider

Publication date: 1 February 1997

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165324

zbMATH Keywords

sheavespointsrigid spaceaffinoid space over a complete nonarchimedean field

Mathematics Subject Classification ID

Local ground fields in algebraic geometry (14G20) Arithmetic algebraic geometry (Diophantine geometry) (11G99)

Related Items (20)

Some examples toward a Manin-Mumford conjecture for abelian uniformizable \(T\)-modules ⋮ Good formal structures for flat meromorphic connections. III: Irregularity and turning loci ⋮ Descent for nonarchimedean analytic spaces ⋮ Morphisms of Berkovich curves and the different function ⋮ Induction equivalence for equivariant 𝒟-modules on rigid analytic spaces ⋮ Density of potentially crystalline representations of fixed weight ⋮ Continuous \(K\)-theory and cohomology of rigid spaces ⋮ TOWARDS A NON-ARCHIMEDEAN ANALYTIC ANALOG OF THE BASS–QUILLEN CONJECTURE ⋮ BIMEROMORPHIC GEOMETRY OF RIGID ANALYTIC SURFACES ⋮ Realization of Levine's motives and \(p\)-adic Hodge cohomology ⋮ Deformation spaces of one-dimensional formal modules and their cohomology ⋮ Syntomic regulators and \(p\)-adic integration. I: Rigid syntomic regulators ⋮ Comparison between rigid and crystalline syntomic cohomology for strictly semistable log schemes with boundary ⋮ Metrization of Differential Pluriforms on Berkovich Analytic Spaces ⋮ Introduction to Adic Tropicalization ⋮ \(p\)-adic polylogarithms and \(p\)-adic Hecke \(L\)-functions for totally real fields ⋮ Uniformizable families of $t$-motives ⋮ \(T\)-modules and Pila-Wilkie estimates ⋮ Reified valuations and adic spectra ⋮ KAROUBI’S RELATIVE CHERN CHARACTER, THE RIGID SYNTOMIC REGULATOR, AND THE BLOCH–KATO EXPONENTIAL MAP

Cites Work

• Schottky groups and Mumford curves
• Géométrie analytique rigide et applications. (Ridgid analytic geometry and applications)
• Formal and rigid geometry. I: Rigid spaces
• Continuous valuations
• Étale cohomology for non-Archimedean analytic spaces
• Points of rigid analytic varieties.
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