Convergence of volume forms on a family of log Calabi-Yau varieties to a non-Archimedean measure

DOI10.1007/s00209-022-03032-5zbMath1498.14109arXiv1911.07307OpenAlexW2985256254MaRDI QIDQ2152858

S. Shivaprasad

Publication date: 11 July 2022

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.07307

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Calabi-Yau theory (complex-analytic aspects) (32Q25) Non-Archimedean analysis (32P05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Skeletons and tropicalizations
• Tropical geometry and correspondence theorems via toric stacks
• Degeneration of Kähler manifolds
• Smooth \(p\)-adic analytic spaces are locally contractible
• Étale cohomology for non-Archimedean analytic spaces
• 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
• Classification of rank 2 cluster varieties
• Singular semipositive metrics in non-Archimedean geometry
• Metrization of Differential Pluriforms on Berkovich Analytic Spaces
• On the structure of non-archimedean analytic curves
• Nonarchimedean geometry, tropicalization, and metrics on curves
• Weight functions on non-Archimedean analytic spaces and the Kontsevich–Soibelman skeleton
• Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
• A Non-Archimedean Interpretation of the Weight Zero Subspaces of Limit Mixed Hodge Structures
• Tropical Geometric Compactification of Moduli, II: A g Case and Holomorphic Limits
• The essential skeleton of a product of degenerations

This page was built for publication: Convergence of volume forms on a family of log Calabi-Yau varieties to a non-Archimedean measure