On the geometry of a Riemann surface underlying a virtual turning point
Project/Area Number |
20540150
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
Basic analysis
|
Research Institution | Hokkaido University |
Principal Investigator |
HONDA Naofumi Hokkaido University, 大学院・理学研究院, 准教授 (00238817)
|
Project Period (FY) |
2008 – 2010
|
Project Status |
Completed (Fiscal Year 2010)
|
Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2008: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
|
Keywords | WKB解析 / 完全WKB解析 / 漸近解析 / ストークス幾何 / 代数解析 |
Research Abstract |
We study the geometry underlying a virtual turning point, which appears in exact WKB analysis. For this purpose, we have constructed a Riemann surface associated with a linear differential equation with a large parameter and a depth function which indicates dependency between new Stokes curves. As an application, we show that we can really obtain connection coefficients on all the new Stokes curves.
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Report
(4 results)
Research Products
(21 results)