| Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2019: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2018: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2017: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Outline of Final Research Achievements |
Through the period of this research from 2016, I have been explored how to simplify the theory of higher algebraic cycles (cycles on products of a scheme and affine spaces, as we use to defined higher Chow groups) and studied cycle classes (and higher characteristic classes) in cohomology groups. In particular, it is a nice achievement to have solved a conjecture raised by Uwe Jannsen in 1989 under some restriction on weights of \'etale cohomology in coefficients (but without any restrictions on motives), concerning a local-principal of Galois cohomology of `S-ramified' Galois groups.
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