Asymptotic expansions of fiber integrals over higher-dimensional bases

DOI10.1515/crelle-2020-0027zbMath1480.32001OpenAlexW3085183231MaRDI QIDQ2661306

Shigeharu Takayama

Publication date: 7 April 2021

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crelle-2020-0027

zbMATH Keywords

asymptotic expansionfiber integrals

Mathematics Subject Classification ID

Integration on analytic sets and spaces, currents (32C30)

Related Items

Geometry of twisted Kähler-Einstein metrics and collapsing ⋮ Unnamed Item

Cites Work

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• Singularities of Narasimhan-Simha type metrics on direct images of relative pluricanonical bundles
• Toroidal embeddings. I
• Bergman kernels and the pseudoeffectivity of relative canonical bundles
• Kähler spaces and proper open morphisms
• Développement asymptotique des fonctions obtenues par intégration sur les fibres
• Weak semistable reduction in characteristic 0
• Residues and principal values on complex spaces
• Variation of mixed Hodge structures and the positivity for algebraic fiber spaces
• Positivity of twisted relative pluricanonical bundles and their direct images