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Classifying Spaces of Degenerating Polarized Hodge Structures. (AM-169)
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.
My Little, Stray Cat 9
"Keeping a cat is kinda scary... Cause it could leave at any time, right?" Mirei, a young OL always refuse drinking party invitations from her co-workers by using her "cat" as the excuse, although actually, the "cat" is the younger boyfriend she has been dating since her high school days. She always thought their daily peaceful life will last forever, until one night...
Hachi/Ritsu (Yaoi Manga)
"This impure feeling should just disappear..." Hachi and Ritsu grew up hanging out together in the countryside despite their stark differences. Ritsu thought their relationship would never change, but Hachi suddenly moved to Tokyo after junior high school graduation without saying anything to Ritsu. Ritsu can't believe he was being neglected, so three years later he decided to go after Hachi in Tokyo... This time he will not let Hachi escapes, even though that means he must prepare for another heartbreak.
Let's Go
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My Little, Stray Cat 5
"Keeping a cat is kinda scary... Cause it could leave at any time, right?" Mirei, a young OL always refuse drinking party invitations from her co-workers by using her "cat" as the excuse, although actually, the "cat" is the younger boyfriend she has been dating since her high school days. She always thought their daily peaceful life will last forever, until one night...
Yuri Wall 1 (Yuri / GL Manga)
“As an outsider, I want to silently protect and watch over the love between women…,” said a Yuri fanatic that got hit by a car and reincarnated as a wall in a certain apartment! And for some reason, the residents of the apartment room are always two girls in yuri relationship… Let’s support these cute and heartwarming couples together with the passionate wall in “Yuri Wall”!
Japan Close-up
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