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logarithms matches 6 work(s)
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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.
Hardcover:
9780691138213 | Princeton Univ Pr, November 24, 2008, cover price $95.00
Paperback:
9780691138220 | Princeton Univ Pr, November 17, 2008, cover price $80.00 | About this edition: In 1970, Phillip Griffiths envisioned that points at infinity could be added to the classifying space D of polarized Hodge structures.
Hardcover:
9780691143422 | Princeton Univ Pr, July 2, 2012, cover price $29.95
Paperback:
9780691163536 | Reprint edition (Princeton Univ Pr, September 22, 2014), cover price $18.95
Hardcover:
9780691155708 | Princeton Univ Pr, October 5, 2014, cover price $35.00
Paperback:
9780345350152, titled "Magical World of Oz" | Reissue edition (Ballantine Books, September 1, 1989), cover price $12.35 | also contains Magical World of Oz
Paperback:
9781901663709 | Natl Museums of Scotland, January 1, 2004, cover price $9.95
Hardcover:
9780521882682 | 1 edition (Cambridge Univ Pr, February 29, 2008), cover price $115.00
Product Description: This volume proposes and explores a new definition of logarithmic mappings as invertible selectors of multifunctions induced by linear operators with domains and ranges in an algebra over a field of characteristic zero...read more (view table of contents, read Amazon.com's description)
Hardcover:
9780792349747 | Kluwer Academic Pub, April 1, 1998, cover price $279.00 | About this edition: This volume proposes and explores a new definition of logarithmic mappings as invertible selectors of multifunctions induced by linear operators with domains and ranges in an algebra over a field of characteristic zero.
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