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Classifying Spaces of Degenerating Polarized Ho, Kato, Usui+=
US $115.33
ApproximatelyAU $173.77
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Located in: NY, United States
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eBay item number:333759329898
Item specifics
- Condition
- PublishedOn
- 2015-04-14
- ISBN
- 9780691138220
- EAN
- 9780691138220
- Subject Area
- Mathematics
- Publication Name
- Classifying Spaces of Degenerating Polarized Hodge Structures. (Am-169)
- Publisher
- Princeton University Press
- Item Length
- 9.1 in
- Subject
- Algebra / Linear, Algebra / General
- Publication Year
- 2008
- Series
- Annals of Mathematics Studies
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Item Height
- 0.9 in
- Item Weight
- 21 Oz
- Item Width
- 6.1 in
- Number of Pages
- 352 Pages
About this product
Product Identifiers
Publisher
Princeton University Press
ISBN-10
0691138222
ISBN-13
9780691138220
eBay Product ID (ePID)
67012417
Product Key Features
Number of Pages
352 Pages
Publication Name
Classifying Spaces of Degenerating Polarized Hodge Structures. (Am-169)
Language
English
Publication Year
2008
Subject
Algebra / Linear, Algebra / General
Type
Textbook
Subject Area
Mathematics
Series
Annals of Mathematics Studies
Format
Trade Paperback
Dimensions
Item Height
0.9 in
Item Weight
21 Oz
Item Length
9.1 in
Item Width
6.1 in
Additional Product Features
Intended Audience
College Audience
LCCN
2008-039091
Reviews
"The book . . . is well and carefully written and even a beginner can learn a lot from it. . . . It is a nice book and can be strongly recommended."-- European Mathematical Society Newsletter, The book . . . is well and carefully written and even a beginner can learn a lot from it. . . . It is a nice book and can be strongly recommended. -- European Mathematical Society Newsletter, "The book . . . is well and carefully written and even a beginner can learn a lot from it. . . . It is a nice book and can be strongly recommended." -- European Mathematical Society Newsletter, The book . . . is well and carefully written and even a beginner can learn a lot from it. . . . It is a nice book and can be strongly recommended.
Series Volume Number
169
Illustrated
Yes
Synopsis
In 1970, Phillip Griffiths envisioned that points at infinity could be added to the classifying space D of polarized Hodge structures. This book realizes this by creating a logarithmic Hodge theory. It uses the logarithmic structures begun by Fontaine-Illusie to revive nilpotent orbits as a logarithmic Hodge structure., 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.
LC Classification Number
QA564.K364 2009
Copyright Date
2009
ebay_catalog_id
4
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