| Budget Amount *help |
¥17,420,000 (Direct Cost: ¥13,400,000、Indirect Cost: ¥4,020,000)
Fiscal Year 2021: ¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2020: ¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2019: ¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2018: ¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2017: ¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
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| Outline of Final Research Achievements |
We clarified the basic properties of the Fourier transforms of irregular holonomic D-modules. In particular, we described explicitly their singular sets and showed that the irregularities (exponential factors) along them can be described by the characteristic varieties and the exponential factors of the original holonomic D-modules. These results largely extend those obtained by Brylinski about 30 years ago. In the course of our research, we studied also the singularities of meromorphic functions at infinity and at their points of indeterminacy. As a byproduct, we found also Bernstein-Sato polynomials for meromorphic functions and studied their basic properties.
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