An asymptotic behavior of solutions of p-adic differential equations
| Project/Area Number |
15H06261
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| Research Category |
Grant-in-Aid for Research Activity Start-up
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| Allocation Type | Single-year Grants |
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| Research Field |
Algebra
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| Research Institution | Nagoya University |
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Principal Investigator |
Ohkubo Shun 名古屋大学, 多元数理科学研究科, 助教 (20755160)
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| Project Period (FY) |
2015-08-28 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Keywords | p進微分方程式 / Gauss-Manin接続 |
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| Outline of Final Research Achievements |
We studied Chiarellotto-Tsuzuki's conjecture on the growth of solutions of p-adic differential equations with Frobenius structures over open unit ball. Our basic approach is based on the author's previous work (2017, Adv. Math.) using certain cyclic vectors with respect to Frobenius structures. In the article written by T. Nakagawa（2013、Tohoku), we found a certain condition on the determination of the growth. We considered a related condition to Nakagawa's condition, and for rank~3 differential equation satisfies this condition, we could verify Chiarellotto-Tsuzuki's conjecture.
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Report
(3 results)
Research Products
(3 results)
