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.

引用

页码：151 / 159

页数：9

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