Rational curves on general hypersurfaces of degree 7 in P5

被引:0
作者
Shin, Dongsoo [1 ]
机构
[1] Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea
关键词
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove that there is no smooth irreducible reduced rational curve of degree e, 2 <= e <= 11, on general hypersurfaces of degree 7 in P-5.
引用
收藏
页码:1 / 10
页数:10
相关论文
共 10 条
[1]  
Arbarello E., 1985, GEOMETRY ALGEBRAIC C, VI
[2]  
CLEMENS H, 1986, ANN SCI ECOLE NORM S, V19, P629
[3]  
DALMEIDA J, 1986, J REINE ANGEW MATH, V370, P30
[4]   ON A THEOREM OF CASTELNUOVO, AND THE EQUATIONS DEFINING SPACE-CURVES [J].
GRUSON, L ;
LAZARSFELD, R ;
PESKINE, C .
INVENTIONES MATHEMATICAE, 1983, 72 (03) :491-506
[5]  
Hartshorne R., 1977, ALGEBRAIC GEOM
[6]  
Johnsen T, 1996, COMMUN ALGEBRA, V24, P2721
[7]  
Kollar J., 1996, RATIONAL CURVES ALGE
[8]   Rational curves on general projective hypersurfaces [J].
Pacienza, G .
JOURNAL OF ALGEBRAIC GEOMETRY, 2003, 12 (02) :245-267
[9]  
Voisin C, 1996, J DIFFER GEOM, V44, P200
[10]  
Voisin C, 1998, J DIFFER GEOM, V49, P601