IRREDUCIBILITY OF A SUBSCHEME OF THE HILBERT SCHEME OF COMPLEX-SPACE CURVES

被引:19
作者
KEEM, C
KIM, SJ
机构
[1] Department of Mathematics, College of Natural Sciences, Seoul National University, Seoul
关键词
D O I
10.1016/0021-8693(92)90190-W
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Denoting by J′(d, g, 3) the subscheme of the Hubert scheme, whose general point corresponds to smooth irreducible and nondegenerate curve of degree d and genus g in P3, it is proved that J′(d, g, 3) is irreducible in the following cases: (i) d ≥ g + 3, (ii) d = g + 2 and g ≥ 5, (iii) d = g + 1 and g ≥ 11. © 1992.
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页码:240 / 248
页数:9
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