| Budget Amount *help |
¥15,600,000 (Direct Cost: ¥12,000,000、Indirect Cost: ¥3,600,000)
Fiscal Year 2021: ¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
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: ¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2017: ¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
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| Outline of Final Research Achievements |
A general theory of rigid geometry on formal Laurent power series over the integers was constructed, and as a consequence of these necessary foundational theoretical developments, a generalization of the Noether normalization theorem was proved in a strong form, which is expected to be extremely useful in applications as well. This theorem was applied in a joint research with Professor Gal Binyamini of the Weizmann Institute (Israel) and resulted in a new result in the form of a uniform Pila-Wilkie type inequality. This result has already been published by arXiv in the form of a joint work with Binyamini (arXiv:2203.10530) and is currently under review.
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