2010 Fiscal Year Final Research Report
Intersection theory via localization
| Project/Area Number |
21840056
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| Research Category |
Grant-in-Aid for Research Activity Start-up
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| Allocation Type | Single-year Grants |
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| Research Field |
Algebra
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| Research Institution | 香川高等専門学校 |
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Principal Investigator |
SATOU Humitoshi 香川高等専門学校, 一般教育科, 講師 (20548309)
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| Project Period (FY) |
2009 – 2010
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| Keywords | 局所化定理 / Gromov-Witten不変量 / Fulton-MacPherson空間 |
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| Research Abstract |
We found new recursive formulas of intersections between lambda and psi classes, which generalized formulas in a paper "Towards an enumerative geometry of the moduli space of curves" by David Munford via applying the localization theorem to the graph space of a moduli of point stable curves. We also generalized Fulton-MacPherson configuration space to relative one and compute its Chow motive.
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