Néron models in log mixed Hodge theory by weak fans
type: Item
instance of: scholarly article
title: Néron models in log mixed Hodge theory by weak fans
zbMATH Open document ID: 1209.14009
author: Kazuya Kato
author: Chikara Nakayama
author: Sampei Usui
published in: Proceedings of the Japan Academy. Series A
publication date: 2011-01-13T00:00:00Z
review text: The paper announces the construction of Neron models for admissible variations of mixed Hodge structure, in the framework of log geometry and log mixed Hodge theory that is being developed by the authors. The authors had previously constructed such models over a one-dimensional base, using toroidal partial compactifications of period domains [Proc. Japan Acad., Ser. A 86, No. 4, 73--78 (2010; Zbl 1200.14024)]. To extend this to the higher-dimensional case, they introduce the concept of a ``weak fan'' (and give an example to show why partial compactifications by fans do not work here). The general construction is sketched in a concise but understandable way, with details to appear later.
reviewed by: Christian Schnell
Mathematics Subject Classification ID: 14C30
Mathematics Subject Classification ID: 14D07
Mathematics Subject Classification ID: 32G20
zbMATH DE Number: 5835899
zbMATH Keywords: Hodge theory
zbMATH Keywords: log geometry
zbMATH Keywords: Néron model
zbMATH Keywords: intermediate Jacobian
zbMATH Keywords: weak fan
MaRDI profile type: Publication
full work available at URL: pjaa.86.143
OpenAlex ID: W2061143684
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DOI: 10.3792/PJAA.86.143
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description: scientific article; zbMATH DE number 5835899