NOTES ON VARIETIES OF CODIMENSION-3 IN PN

被引：21

作者：

OKONEK, C

机构：

[1] Mathematisches Institut, Universität Zürich, Zürich, CH-8057

来源：

MANUSCRIPTA MATHEMATICA | 1994年 / 84卷 / 3-4期

关键词：

D O I：

10.1007/BF02567467

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article I describe construction methods for smooth subvarieties of codimension 3 in projective spaces or other ambient spaces. The methods include liaison of 3-folds in P6, sections in smooth reflexive sheaves, and Pfaffians of twisted skew-symmetric vector bundle morphisms. I use these methods to construct new families of 3-folds in P6, and new codimension 3 submanifolds in P8 and P9.

引用

页码：421 / 442

页数：22

共 54 条

[1]

ARBARELLO E, 1985, GEOMETRY ALGEBRAIC C, V1, P267

[2]

BANICA C, 1990, CR ACAD SCI I-MATH, V311, P253

[3]

BANICA C, 1989, SMOOTH REFLEXIVE SHE

[4] HOMOTOPY GROUPS OF COMPLEX PROJECTIVE ALGEBRAIC MANIFOLDS [J].