Reduction and lifting problem for differential forms on Berkovich curves

DOI10.1016/j.aim.2022.108208zbMath1484.14062arXiv2005.01397OpenAlexW3020919597MaRDI QIDQ2074834

Ilya Tyomkin, Michael Temkin

Publication date: 11 February 2022

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

Full work available at URL: https://arxiv.org/abs/2005.01397

zbMATH Keywords

differential formsBerkovich spacesstable reduction

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Rigid analytic geometry (14G22) Differentials on Riemann surfaces (30F30)

Cites Work

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• Tropical geometry and correspondence theorems via toric stacks
• Connected components of the moduli spaces of Abelian differentials with prescribed singularities
• Compactification of strata of abelian differentials
• Linear series on metrized complexes of algebraic curves
• Realizability of tropical canonical divisors
• Metrization of Differential Pluriforms on Berkovich Analytic Spaces
• On the structure of non-archimedean analytic curves
• Lifting problem for minimally wild covers of Berkovich curves

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