Continuity of plurisubharmonic envelopes in non-Archimedean geometry and test ideals. With an appendix by José Ignacio Burgos Gil and Martín Sombra.

DOI10.5802/aif.3296zbMath1434.32035arXiv1712.00980OpenAlexW2974224775WikidataQ127228211 ScholiaQ127228211MaRDI QIDQ2326274

Walter Gubler, Florent Martin, Klaus Künnemann, Philipp Jell

Publication date: 7 October 2019

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

Full work available at URL: https://arxiv.org/abs/1712.00980

zbMATH Keywords

pluripotential theorytest idealsnon-Archimedean Monge-Ampère equation

Mathematics Subject Classification ID

Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Rigid analytic geometry (14G22) Plurisubharmonic functions and generalizations (32U05) Non-Archimedean analysis (32P05)

Related Items (7)

The asymptotic Fubini-Study operator over general non-Archimedean fields ⋮ Global pluripotential theory over a trivially valued field ⋮ Metric SYZ conjecture and non-Archimedean geometry ⋮ Spaces of norms, determinant of cohomology and Fekete points in non-Archimedean geometry ⋮ A comparison of the real and non-Archimedean Monge-Ampère operator ⋮ Plurisubharmonic geodesics in spaces of non-Archimedean metrics of finite energy ⋮ Intersection theory of nefb-divisor classes

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