| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2014: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
|
|---|
| Outline of Final Research Achievements |
A plane algebraic curve is called cuspidal if it has only cusps as its singular points, where by a cusp I mean a locally irreducible singular point. For a cuspidal curve C on the complex projective plane let C' denote the proper transform of C via the minimal embedded resolution of the cusps. I obtained some results concerning the self-intersection number of C' for cuspidal plane curves C of genus two having only one cusp. I classified the rational cuspidal plane curves C having two cusps such that the self-intersection number of C' is equal to -1. Then I obtained an upper bound of the self-intersection number of C' for the rational cuspidal plane curves C having at least 3 cusps. Moreover, I determined the rational cuspidal plane curves C having 3 cusps such that the self-intersection number of C' is equal to the bound.
|
