1996 Fiscal Year Final Research Report Summary
Contact geometric singularity theory of projective varieties.
| Project/Area Number |
07640082
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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 |
Geometry
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| Research Institution | HOKKAIDO UNIVERSITY |
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Principal Investigator |
ISHIKAWA Go-o Hokkaido Univ, Graduate school of Sciences, AP., 大学院・理学研究科, 助教授 (50176161)
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| Co-Investigator(Kenkyū-buntansha) |
MINAKAWA Hiroyuki Hokkaido Univ, Graduate school of Sciences, A., 大学院・理学研究科, 助手 (30241300)
NAKAI Isao Hokkaido Univ, Graduate school of Sciences, AP., 大学院・理学研究科, 助教授 (90207704)
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| Project Period (FY) |
1995 – 1996
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| Keywords | Legendre singularity / Lagrange singularity / Tangent developable / Monge-Ampere equation / Open umbrella / Plane trigonometric curve / Pseudo-line arrangement / Hilbert's 16th problem |
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| Research Abstract |
We have established following remarkable results : Topological classification of tangent developables of space curves. Contact geometric approach to the solution surfaces of Monge-Ampere equations. Characterization of open umbrellas. Topology of plane trigonometric curves and their relation to pseudo-line arrangements.
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