Classifying Spaces of Degenerating Polarized Hodge Structures. (AM-169) (Annals of Mathematics Studies)

0 avg rating
( 0 ratings by Goodreads )
 
9780691138220: Classifying Spaces of Degenerating Polarized Hodge Structures. (AM-169) (Annals of Mathematics Studies)
View all copies of this ISBN edition:
 
 

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.

"synopsis" may belong to another edition of this title.

About the Author:

Kazuya Kato is professor of mathematics at Kyoto University. Sampei Usui is professor of mathematics at Osaka University.

Review:

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)

"About this title" may belong to another edition of this title.

Other Popular Editions of the Same Title

9780691138213: Classifying Spaces of Degenerating Polarized Hodge Structures. (AM-169) (Annals of Mathematics Studies)

Featured Edition

ISBN 10:  0691138214 ISBN 13:  9780691138213
Publisher: Princeton University Press, 2008
Hardcover

Top Search Results from the AbeBooks Marketplace

1.

Kazuya Kato; Sampei Usui
ISBN 10: 0691138222 ISBN 13: 9780691138220
New Quantity Available: 2
Seller:
Books-FYI, Inc.
(Cadiz, KY, U.S.A.)
Rating
[?]

Book Description Condition: New. Seller Inventory # 23MA36012Z50

More information about this seller | Contact this seller

Buy New
US$ 16.92
Convert currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, rates & speeds

2.

Kazuya Kato; Sampei Usui
Published by Princeton University Press (2008)
ISBN 10: 0691138222 ISBN 13: 9780691138220
New Softcover Quantity Available: 1
Seller:
Irish Booksellers
(Portland, ME, U.S.A.)
Rating
[?]

Book Description Princeton University Press, 2008. Condition: New. book. Seller Inventory # M0691138222

More information about this seller | Contact this seller

Buy New
US$ 30.86
Convert currency

Add to Basket

Shipping: US$ 3.27
Within U.S.A.
Destination, rates & speeds

3.

Kazuya Kato, Sampei Usui
Published by Princeton University Press (2008)
ISBN 10: 0691138222 ISBN 13: 9780691138220
New Paperback Quantity Available: 1
Seller:
Ergodebooks
(RICHMOND, TX, U.S.A.)
Rating
[?]

Book Description Princeton University Press, 2008. Paperback. Condition: New. Seller Inventory # DADAX0691138222

More information about this seller | Contact this seller

Buy New
US$ 43.00
Convert currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, rates & speeds

4.

Kato, Kazuya, Usui, Sampei
Published by Princeton University Press (2018)
ISBN 10: 0691138222 ISBN 13: 9780691138220
New Paperback Quantity Available: 2
Print on Demand
Seller:
Save With Sam
(North Miami, FL, U.S.A.)
Rating
[?]

Book Description Princeton University Press, 2018. Paperback. Condition: New. Brand New! This item is printed on demand. Seller Inventory # VIB0691138222

More information about this seller | Contact this seller

Buy New
US$ 52.92
Convert currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, rates & speeds

5.

Kazuya Kato
Published by Princeton University Press (2008)
ISBN 10: 0691138222 ISBN 13: 9780691138220
New Quantity Available: 1
Seller:
Books2Anywhere
(Fairford, GLOS, United Kingdom)
Rating
[?]

Book Description Princeton University Press, 2008. PAP. Condition: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Seller Inventory # WP-9780691138220

More information about this seller | Contact this seller

Buy New
US$ 56.21
Convert currency

Add to Basket

Shipping: US$ 11.84
From United Kingdom to U.S.A.
Destination, rates & speeds

6.

Sampei Usui, Kazuya Kato
Published by Princeton University Press, United States (2008)
ISBN 10: 0691138222 ISBN 13: 9780691138220
New Paperback Quantity Available: 1
Seller:
Book Depository International
(London, United Kingdom)
Rating
[?]

Book Description Princeton University Press, United States, 2008. Paperback. Condition: New. Language: English. Brand new Book. 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. Seller Inventory # AAH9780691138220

More information about this seller | Contact this seller

Buy New
US$ 72.57
Convert currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, rates & speeds

7.

Sampei Usui, Kazuya Kato
Published by Princeton University Press, United States (2008)
ISBN 10: 0691138222 ISBN 13: 9780691138220
New Paperback Quantity Available: 1
Seller:
The Book Depository
(London, United Kingdom)
Rating
[?]

Book Description Princeton University Press, United States, 2008. Paperback. Condition: New. Language: English. Brand new Book. 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. Seller Inventory # AAH9780691138220

More information about this seller | Contact this seller

Buy New
US$ 74.76
Convert currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, rates & speeds

8.

Kazuya Kato (author), Sampei Usui (author)
Published by Princeton University Press 2008-12-23, Princeton, N.J. |Woodstock (2008)
ISBN 10: 0691138222 ISBN 13: 9780691138220
New paperback Quantity Available: > 20
Seller:
Blackwell's
(Oxford, OX, United Kingdom)
Rating
[?]

Book Description Princeton University Press 2008-12-23, Princeton, N.J. |Woodstock, 2008. paperback. Condition: New. Seller Inventory # 9780691138220

More information about this seller | Contact this seller

Buy New
US$ 74.51
Convert currency

Add to Basket

Shipping: US$ 9.87
From United Kingdom to U.S.A.
Destination, rates & speeds

9.

Kazuya Kato
Published by Princeton University Press (2008)
ISBN 10: 0691138222 ISBN 13: 9780691138220
New Quantity Available: > 20
Print on Demand
Seller:
Pbshop
(Wood Dale, IL, U.S.A.)
Rating
[?]

Book Description Princeton University Press, 2008. PAP. Condition: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Seller Inventory # IQ-9780691138220

More information about this seller | Contact this seller

Buy New
US$ 80.95
Convert currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, rates & speeds

10.

Kazuya Kato
Published by Princeton University Press
ISBN 10: 0691138222 ISBN 13: 9780691138220
New Paperback Quantity Available: 1
Seller:
THE SAINT BOOKSTORE
(Southport, United Kingdom)
Rating
[?]

Book Description Princeton University Press. Paperback. Condition: New. New copy - Usually dispatched within 2 working days. Seller Inventory # B9780691138220

More information about this seller | Contact this seller

Buy New
US$ 78.60
Convert currency

Add to Basket

Shipping: US$ 9.13
From United Kingdom to U.S.A.
Destination, rates & speeds

There are more copies of this book

View all search results for this book