Construction and application of a theory of dynamical systems on complex surfaces
| Project/Area Number |
24740096
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Global analysis
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| Research Institution | Saga University (2014-2015)
Niigata University (2012-2013) |
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Principal Investigator |
Uehara Takato 佐賀大学, 工学(系)研究科(研究院), 准教授 (40613261)
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| Project Period (FY) |
2012-04-01 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | 複素曲面 / 力学系 / 有理曲面 / エントロピー / ディターミナント / ジーゲル領域 / ジーゲル円板 / 自己同型写像 |
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| Outline of Final Research Achievements |
We study dynamical systems of biholomorphic automorphisms on rational surfaces with positive topological entropy. We determine explicitly the determinant values, which are defined for automorphisms preserving anticanonical curves, and show the existence of an abundance of rational surface automorphisms with positive entropy. Moreover, we show the existence of automorphisms on complex surfaces with positive entropy having a given number of Siegel domains, which are observed around fixed points.
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Report
(5 results)
Research Products
(20 results)
