Home : Book details

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

Category:
Mathematics

Views: 132
Likes: 41

Catalogue

Author(s):	Kazuya Kato

Date:	2021	Format:	pdf	Language:	English	ISBN/ASIN:	0691138214
Pages:	352	OCR:		Quality:		ISBN13:
Uploader:	topron	Upload Date:	1/3/2022 6:23:55 AM

To download click on link in the Links Table below

Description: Click to see full description

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.
Read more

Links Table

	Title	Link	Password	Size (MB)	Thank to	Inform Admin
3069305	Book	https://tezfiles.com/file/66de8b3ee8f58/...		0.00	topron

Tags: Annals Classifying Degenerating Hodge Mathematics Polarized Spaces Structures Studies

Title	Link	Password	Size	Reason

Those who downloaded this book also downloaded the following books:

Comments

New comment:

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

Category: Mathematics

Description: Click to see full description

Category:
Mathematics