Metrization of Differential Pluriforms on Berkovich Analytic Spaces

DOI10.1007/978-3-319-30945-3_8zbMath1360.32019arXiv1410.3079OpenAlexW1946087315MaRDI QIDQ2833347

Michael Temkin

Publication date: 18 November 2016

Published in: Nonarchimedean and Tropical Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.3079

zbMATH Keywords

non-Archimedean geometryskeletonsBerkovich analytic spacesKähler seminormspluriforms

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Rigid analytic geometry (14G22) Non-Archimedean analysis (32P05)

Related Items (15)

A non-Archimedean Ohsawa-Takegoshi extension theorem ⋮ Morphisms of Berkovich curves and the different function ⋮ Convergence of volume forms on a family of log Calabi-Yau varieties to a non-Archimedean measure ⋮ Realizability of tropical canonical divisors ⋮ Altered local uniformization of Berkovich spaces ⋮ Endomorphisms of power series fields and residue fields of Fargues-Fontaine curves ⋮ Motivic zeta functions of degenerating Calabi-Yau varieties ⋮ Topological transcendence degree ⋮ The essential skeleton of a product of degenerations ⋮ Spaces of norms, determinant of cohomology and Fekete points in non-Archimedean geometry ⋮ Tropical and non-Archimedean limits of degenerating families of volume forms ⋮ Convergence of \(p\)-adic pluricanonical measures to Lebesgue measures on skeleta in Berkovich spaces ⋮ Reduction and lifting problem for differential forms on Berkovich curves ⋮ Lifting problem for minimally wild covers of Berkovich curves ⋮ Degenerated Calabi-Yau varieties with infinite components, moduli compactifications, and limit toroidal structures

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