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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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Lenguaje: | eng |
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Princeton Univ. Press
2009
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Acceso en línea: | http://cds.cern.ch/record/1388853 |
_version_ | 1780923287336910848 |
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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 |
record_format | invenio |
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 |