| Budget Amount *help |
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Outline of Final Research Achievements |
The stable homotopy category of spectra is understood by the stable homotopy categories K_n of spectra localized by the Morava K-theoreis K(n) for a non-negative integers n. To determine the Hopkins' Picard group of K_n is one of important problems in the stable homotopy theory. Our aim of this study is to consider the Picard groups not by the Morava K-theories, but by the Johnson-Wilson spectrum E(n). One of our main results is that the subgroup of the Picard group of K_n obtained by a geometric consideration is isomorphic to the counterpart of the Picard group of the stable homotopy category localized by E(n), under a condition.
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