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Classifying spaces of degenerating polarized Hodge structures

In 1970, Phillip Griffiths envisioned that points at infinity could be added to the classifying space D of polarized Hodge structures. In this book, Kazuya Kato and Sampei Usui realize this dream by creating a logarithmic Hodge theory. They use the logarithmic structures begun by Fontaine-Illusie t...

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Detalles Bibliográficos
Autores principales: Kato, Kazuya, Usui, Sampei
Lenguaje:eng
Publicado: Princeton Univ. Press 2009
Materias:
Acceso en línea:http://cds.cern.ch/record/1388853
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author Kato, Kazuya
Usui, Sampei
author_facet Kato, Kazuya
Usui, Sampei
author_sort Kato, Kazuya
collection CERN
description In 1970, Phillip Griffiths envisioned that points at infinity could be added to the classifying space D of polarized Hodge structures. In this book, Kazuya Kato and Sampei Usui realize this dream by creating a logarithmic Hodge theory. They use the logarithmic structures begun by Fontaine-Illusie to revive nilpotent orbits as a logarithmic Hodge structure. The book focuses on two principal topics. First, Kato and Usui construct the fine moduli space of polarized logarithmic Hodge structures with additional structures. Even for a Hermitian symmetric domain D, the present theory is a refinem
id cern-1388853
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2009
publisher Princeton Univ. Press
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spelling cern-13888532021-04-22T00:50:51Zhttp://cds.cern.ch/record/1388853engKato, KazuyaUsui, SampeiClassifying spaces of degenerating polarized Hodge structuresMathematical Physics and Mathematics In 1970, Phillip Griffiths envisioned that points at infinity could be added to the classifying space D of polarized Hodge structures. In this book, Kazuya Kato and Sampei Usui realize this dream by creating a logarithmic Hodge theory. They use the logarithmic structures begun by Fontaine-Illusie to revive nilpotent orbits as a logarithmic Hodge structure. The book focuses on two principal topics. First, Kato and Usui construct the fine moduli space of polarized logarithmic Hodge structures with additional structures. Even for a Hermitian symmetric domain D, the present theory is a refinemPrinceton Univ. Pressoai:cds.cern.ch:13888532009
spellingShingle Mathematical Physics and Mathematics
Kato, Kazuya
Usui, Sampei
Classifying spaces of degenerating polarized Hodge structures
title Classifying spaces of degenerating polarized Hodge structures
title_full Classifying spaces of degenerating polarized Hodge structures
title_fullStr Classifying spaces of degenerating polarized Hodge structures
title_full_unstemmed Classifying spaces of degenerating polarized Hodge structures
title_short Classifying spaces of degenerating polarized Hodge structures
title_sort classifying spaces of degenerating polarized hodge structures
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/1388853
work_keys_str_mv AT katokazuya classifyingspacesofdegeneratingpolarizedhodgestructures
AT usuisampei classifyingspacesofdegeneratingpolarizedhodgestructures