| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2020: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2019: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2018: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Outline of Final Research Achievements |
A category of motives with modulus is constructed. This has been considered as a fundamental goal in this research subject for a decade. The results are published or accepted as a series of three papers. The first is devoted to the theory of modulus pairs and sheaves on them, the second to the sheaf theory on proper modulus pairs, and the third to the construction of the triangulated category of motives with modulus. We have also studied related subjects such as reciprocity sheaves and their tensor product, mixed Hodge structure with modulus, P1-invariant sheaves with transfers, and arithmetic of 1-motives of modular curves.
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