| Budget Amount *help |
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2012: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2011: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Research Abstract |
The outcomes of the present research project is two-fold:
(1) Construction high-dimensional non-archimedean orbifolds via rigid analytic uniformizations: This part of the research has mainly been conducted by the joint-work with Daniel Allcock, University of Texas in Austin. Based on the past researches in this field, we have succeeded to give an explicit and algebro-geometrically significant algebraic surface that comes from 2-adic non-archimedean uniformization process.
(2) Building up the solid foundations of rigid geometry: This has been promised in the initial research proposal of this project, meant to be one of the main things to do in the second and third years. This part of the research saw a very successful achievement; with Kazuhiro Fujiwara (Nagoya), we have finished a foundational book `Foundations of Rigid Geometry', containing more than 700 pages, which has been accepted to be published from European Mathematical Society, Publishing House.
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