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
来源：
JOURNAL OF ALGEBRA | 1992年 / 145卷 / 01期
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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