Berkovich spaces are excellent

DOI10.5802/aif.2470zbMath1177.14049arXiv1107.4259OpenAlexW2963784931MaRDI QIDQ734603

Antoine Ducros

Publication date: 13 October 2009

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.4259

zbMATH Keywords

Berkovich spacesexcellence, base field extension, irreducible components, normalizationnon-archimedean analytic spaces

Mathematics Subject Classification ID

Rigid analytic geometry (14G22) Foundations of algebraic geometry (14A99)

Related Items (22)

Good formal structures for flat meromorphic connections. III: Irregularity and turning loci ⋮ Degenerations of amoebae and Berkovich spaces ⋮ Tropical Skeletons ⋮ Réduction en famille d'espaces affinoïdes ⋮ Patching over analytic fibers and the local-global principle ⋮ A nonarchimedean Ax-Lindemann theorem ⋮ Finiteness theorems for vanishing cycles of formal schemes ⋮ On Liu morphisms in non-Archimedean geometry ⋮ Paraboline variation over -adic families of -modules ⋮ Continuity of roots after Rabinoff ⋮ Global pluripotential theory over a trivially valued field ⋮ Berkovich spaces on \(\mathbb Z\): local study ⋮ Functorial desingularization of quasi-excellent schemes in characteristic zero: the nonembedded case ⋮ Picard groups in \(p\)-adic Fourier theory ⋮ Functorial factorization of birational maps for qe schemes in characteristic 0 ⋮ The convergence Newton polygon of a \(p\)-adic differential equation. II: Continuity and finiteness on Berkovich curves ⋮ Lubin-Tate and Drinfeld bundles ⋮ About Hrushovski and Loeser’s Work on the Homotopy Type of Berkovich Spaces ⋮ Patching over Berkovich curves and quadratic forms ⋮ DEFINABLE SETS OF BERKOVICH CURVES ⋮ Dévisser, découper, éclater et aplatir les espaces de Berkovich ⋮ Cohomological Finiteness of Proper Morphisms in Algebraic Geometry: A Purely Transcendental Proof, Without Projective Tools

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