Study on vector bundles and moduli spaces
| Project/Area Number |
19740036
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Geometry
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| Research Institution | Kyoto University |
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Principal Investigator |
MOCHIZUKI Takuro Kyoto University, 数理解析研究所, 准教授 (10315971)
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| Project Period (FY) |
2007 – 2009
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| Project Status |
Completed (Fiscal Year 2009)
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| Budget Amount *help |
¥2,030,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥330,000)
Fiscal Year 2009: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2008: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2007: ¥600,000 (Direct Cost: ¥600,000)
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| Keywords | ストークス構造 / ワイルド純ツイスターD加群 / ワイルド調和バンドル / 不確定特異点 / 強レフシェッツ定理 / ホロノミックD加群 / ベッチ構造 / ワイルド純ツイスターD-加群 |
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| Research Abstract |
We studied wild harmonic bundles and algebraic holonomic D-modules. We established the correspondence between semisimple algebraic holonomic D-modules and polarizable wild pure twistor D-modules through wild harmonic bundles. As an application, we showed that semisimplicity of algebraic holonomic D-modules is preserved by push-forward. In the course of the study, we obtained fundamental theorems for algebraic meromorphic flat bundles, namely, a resolution of turning points, and a description of irregular singularity in terms of a system of Stokes filtrations.
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Report
(4 results)
Research Products
(32 results)
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[Presentation] On Deligne-Malgrange lattice2008
Author(s)
Takuro Mochizuki
Organizer
Equations aux derivees partielles et theorie de Galois differentielle
Place of Presentation
The Centre International de Rencontres Mathernatiques, France
Year and Date
2008-10-08
Related Report
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