| Budget Amount *help |
¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2009: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Research Abstract |
The regulator map is one of the most interesting object of research in arithmetic geometry. In this research we have shown that the regulator map is described as integrals over algebraic cycles. Moreover, we have established a higher extension of the theory of arithmetic Chern character of a hermitian vector bundle on an arithmetic variety. In other words, we have constructed a homomorphism from higher arithmetic K-group to higher arithmetic Chow group. This can be seen as an analogue of regulator map in Arakelov geometry.
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