| Co-Investigator(Renkei-kenkyūsha) |
FUTAKI Akito 東京大学, 大学院数理科学研究科, 教授 (90143247)
GOTO Ryushi 大阪大学, 大学院理学研究科, 教授 (30252571)
OHSAWA Takeo 名古屋大学, 大学院多元数理科学研究科, 教授 (30115802)
OBITSU Kunio 鹿児島大学, 大学院理工学研究科, 准教授 (00325763)
YAMANOI Katsutoshi 大阪大学, 大学院理学研究科, 教授 (40335295)
FUJINO Osamu 京都大学, 大学院理学研究科, 准教授 (60324711)
HAYASHIMOTO Atsushi 国立長野高専, 一般科, 准教授 (90342493)
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| Budget Amount *help |
¥13,780,000 (Direct Cost: ¥10,600,000、Indirect Cost: ¥3,180,000)
Fiscal Year 2015: ¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2014: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2013: ¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2012: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2011: ¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
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| Outline of Final Research Achievements |
For a proper surjective morphism between complex manifolds, we obtain results to connect the deformation of complex structures of fibers and the curvature property or variations of the relative pluricanonical bundle and its direct image equipped with canonically attached Hermitian metrics. In particular, when the fibers are Calabi-Yau type, we describe completely the relations among the behavior of fiberwise Kahler-Einstein metrics, the completeness of the Weil-Petersson metric on the base, and the possible type of singularities on the central fiber.
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