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Classifying Spaces of Degenerating Polarized Hodge Structures. (AM-169)
Kazuya Kato
€ 97.47
€ 74.19
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Description for Classifying Spaces of Degenerating Polarized Hodge Structures. (AM-169)
Paperback. 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. Series: Annals of Mathematics Studies. Num Pages: 352 pages, 2 line illus. BIC Classification: PBKF. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 229 x 152 x 25. Weight in Grams: 599.
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. ... Read more
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. ... Read more
Product Details
Format
Paperback
Publication date
2008
Publisher
Princeton University Press United States
Number of pages
352
Condition
New
Series
Annals of Mathematics Studies
Number of Pages
352
Place of Publication
New Jersey, United States
ISBN
9780691138220
SKU
V9780691138220
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About Kazuya Kato
Kazuya Kato is professor of mathematics at Kyoto University. Sampei Usui is professor of mathematics at Osaka University.
Reviews for Classifying Spaces of Degenerating Polarized Hodge Structures. (AM-169)
"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
European Mathematical Society Newsletter