| Budget Amount *help |
¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2017: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2016: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2015: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Outline of Final Research Achievements |
The results for the CM extension over the total real number field obtained in the previous research on the odd prime part of annihilator ideas of the K groups of the ring of integers have been extended to the Fitting ideal under the technical assumption on the degree of the extension.
When the extension field is a CM field, the localization map of the cohomology group becomes complicated, compared to the case of the total real field,
but by decomposing the higher Stickelberger elements defined by the special values of the partial zeta function to the annihilators of the kernel and image of the localization map, we were able to obtain the results.
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