Remarks on the defining equations of smooth threefolds in P5

被引：2
|
作者：
Choi, Y
Kwak, S
机构：
[1] Korea Inst Adv Study, Sch Math, Seoul, South Korea
[2] Korea Adv Inst Sci & Technol, Dept Math, Taejon 305701, South Korea
来源：
GEOMETRIAE DEDICATA | 2003年 / 96卷 / 01期
关键词：
2-normality; complete intersection; vanishing theorem;
D O I：
10.1023/A:1022133506844
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove the vanishing of the first cohomology groups of ideal sheaves twisted by small integers for smooth threefolds in P-5 defined over the complex number field C by using Le Potier vanishing theorem and Castelnuovo regularity for vector bundles, which contributes Peskine-Van de Ven conjecture for 2-normality.
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页码：151 / 159
页数：9
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