It takes the average reader 6 hours and 1 minute to read Classifying Spaces of Degenerating Polarized Hodge Structures. (AM-169) by Kazuya Kato
Assuming a reading speed of 250 words per minute. Learn 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. 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.
Classifying Spaces of Degenerating Polarized Hodge Structures. (AM-169) by Kazuya Kato is 349 pages long, and a total of 90,391 words.
This makes it 118% the length of the average book. It also has 110% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 8 hours and 13 minutes to read Classifying Spaces of Degenerating Polarized Hodge Structures. (AM-169) aloud.
Classifying Spaces of Degenerating Polarized Hodge Structures. (AM-169) is suitable for students ages 12 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
When deciding what to show young students always use your best judgement and consult a professional.
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