2012 Fiscal Year Final Research Report
Study of geometric and analytic monodromies and local zeta functions
| Project/Area Number |
22540172
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Basic analysis
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| Research Institution | University of Tsukuba |
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Principal Investigator |
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| Co-Investigator(Renkei-kenkyūsha) |
MATSUI Yutaka 近畿大学, 理工学部, 准教授 (10510026)
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| Project Period (FY) |
2010 – 2012
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| Keywords | D-加群 / 超幾何関数 / 特異点理論 / モノドロミー / 偏屈層 / ミルナー束 |
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| Research Abstract |
By using the theory of motivic Milnor fibers, we obtained some formulas which express the Jordan normal forms of monodromies at infinity of polynomial maps. Moreover we generalized this result to the case of polynomial maps from complete intersection varieties. By using the theory of rapid decay homologies we also obtained the integral representations of confluent A-hypergeometric functions. By this result we calculated their asymptotic expansions and Stokes multipliers at infinity.
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