| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2019: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2018: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2017: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Outline of Final Research Achievements |
We studied on canonical and n-canonical modules. We have suceeded in removing the extra hypothesis of the quasi-finiteness under mild conditions that the schemes in problem are over some fields. In the proof of the theorem, we have used D-modules and their relatives. The theorem is expected to be applicable to the study of Jacobian Conjecture which asserts that an etale endomorphism of an affine n-space over a field of characteristic zero is an isomorphism. Moreover, the study on canonical modules will be applicable to the study on almost Gorenstein property, which lies between the Cohen-Macaulay property and the Gorenstein property.
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