2011 Fiscal Year Final Research Report
Research on p-adic Hodge theory with arithmetic D-modules
| Project/Area Number |
21540008
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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 |
Algebra
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| Research Institution | The University of Tokyo |
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Principal Investigator |
TSUJI Takeshi 東京大学, 大学院・数理科学研究科, 教授 (40252530)
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| Project Period (FY) |
2009 – 2011
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| Keywords | p進Hodge理論 / 数論的D加群 |
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| Research Abstract |
Takeshi Tsuji studied p-adic Hodge theory for p-adic perverse sheaves on a poper smooth algebraic variety with good reduction over a p-adic field, and generalized the notion of crystalline sheaves for local systems to perverse sheaves whose singular locus lies on a simple normal crossing divisor. He also studied the weight spectral sequence of p-adic cohomology constructed from nearby cycles D-modules, and proved its functoriality and its compatibility with duality, Frobenius automorphisms, and algebraic correspondences.
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