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Classifying Spaces of Degenerating Polarized Ho. Kato, Usui<|
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eBay item number:305368381071
Item specifics
- Condition
- PublishedOn
- 2015-04-14
- Title
- Classifying Spaces of Degenerating Polarized Hodge Structures. (
- ISBN
- 9780691138220
- Publication Year
- 2008
- Type
- Textbook
- Format
- Paperback
- Language
- English
- Publication Name
- Classifying Spaces of Degenerating Polarized Hodge Structures. (Am-169)
- Item Height
- 235mm
- Publisher
- Princeton University Press
- Item Width
- 152mm
- Subject
- Mathematics
- Item Weight
- 595g
- Number of Pages
- 352 Pages
About this product
Product Information
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 refinement of the toroidal compactifications by Mumford et al. For general D, fine moduli spaces may have slits caused by Griffiths transversality at the boundary and be no longer locally compact. Second, Kato and Usui construct eight enlargements of D and describe their relations by a fundamental diagram, where four of these enlargements live in the Hodge theoretic area and the other four live in the algebra-group theoretic area. These two areas are connected by a continuous map given by the SL(2)-orbit theorem of Cattani-Kaplan-Schmid. This diagram is used for the construction in the first topic.
Product Identifiers
Publisher
Princeton University Press
ISBN-13
9780691138220
eBay Product ID (ePID)
90237192
Product Key Features
Publication Name
Classifying Spaces of Degenerating Polarized Hodge Structures. (Am-169)
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
2008
Type
Textbook
Number of Pages
352 Pages
Dimensions
Item Height
235mm
Item Width
152mm
Item Weight
595g
Additional Product Features
Series Title
Annals of Mathematics Studies
Country/Region of Manufacture
United States
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