Spaces of norms, determinant of cohomology and Fekete points in non-Archimedean geometry

DOI10.1016/j.aim.2020.107501zbMath1460.32044arXiv1805.01016OpenAlexW3115688152MaRDI QIDQ2219321

Sébastien Boucksom, Dennis Eriksson

Publication date: 20 January 2021

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.01016

zbMATH Keywords

Fekete pointsBerkovich spacestransfinite diameterdeterminant of the cohomologyFubini-study metrics

Mathematics Subject Classification ID

Holomorphic bundles and generalizations (32L05) Non-Archimedean analysis (32P05)

Related Items (20)

Points of small height on semiabelian varieties ⋮ The existence of the Kähler–Ricci soliton degeneration ⋮ Explicit Deligne pairing ⋮ The asymptotic Fubini-Study operator over general non-Archimedean fields ⋮ K-stability of Fano varieties via admissible flags ⋮ Metrised ample line bundles in non-Archimedean geometry ⋮ Algebraic uniqueness of Kähler-Ricci flow limits and optimal degenerations of Fano varieties ⋮ Deligne-Riemann-Roch and intersection bundles ⋮ Global pluripotential theory over a trivially valued field ⋮ Buildings, valuated matroids, and tropical linear spaces ⋮ Emergent complex geometry ⋮ Tropical and non-Archimedean Monge-Ampère equations for a class of Calabi-Yau hypersurfaces ⋮ Convexity of multiplicities of filtrations on local rings ⋮ Global pluripotential theory on hybrid spaces ⋮ The space of finite-energy metrics over a degeneration of complex manifolds ⋮ On Zhang's semipositive metrics ⋮ Valuative invariants with higher moments ⋮ The closures of test configurations and algebraic singularity types ⋮ Plurisubharmonic geodesics in spaces of non-Archimedean metrics of finite energy ⋮ A Local Refinement of the Adams–Riemann–Roch Theorem in Degree One

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