Degeneration of log Hodge-de Rham spectral sequences and mixed Hodge structures
| Project/Area Number |
23540058
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Algebra
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| Research Institution | Tokyo Denki University |
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Principal Investigator |
FUJISAWA Taro 東京電機大学, 工学部, 教授 (60280385)
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| Project Period (FY) |
2011 – 2013
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| Project Status |
Completed (Fiscal Year 2013)
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| Budget Amount *help |
¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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| Keywords | 混合ホッジ構造 / 対数幾何学 / 対数的スムース退化 / モノドロミーウェイトフィルトレーション |
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| Research Abstract |
By using cubical method, I constructed mixed Hodge structures and their polarizations on the relative log de Rham cohomology groups of a projective log deformation.
On the other hand, I considerd a projective semistable morphism over a polydisc, which is a typical example of log smooth degeneration. I proved that the limiting mixed Hodge structures give us an admissible variation of mixed Hodge structures, when the pure Hodge structures on the relative de Rham cohomology groups of general fibers degenerate to an intersection of some of coordinate hyperplanes of the polydisc.
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Report
(4 results)
Research Products
(6 results)
