| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2009: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2008: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Research Abstract |
We have obtained numerous useful and essential results in topological feature of Zriski-Riemann spaces associated to rigid spaces and their ring-theoretic bases, which provide foundations of rigid geometry itself with the perspective of future applications. In doing so, we have found several new perspectives for some "immediate" applications in, for example, mathematical physics and non-archimedean uniformizaions. In the latter field, in particular, one has a new approach to higher dimensional uniformizations, which yields several new results on discrete lattices, by means of the orbifold-like techniques, already known in one dimensional situation.
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