A generalized Gaeta's theorem

被引：13

作者：

Gorla, Elisa ^{[1
]}

机构：

[1] Univ Zurich, Inst Math, CH-8057 Zurich, Switzerland

来源：

COMPOSITIO MATHEMATICA | 2008年 / 144卷 / 03期

关键词：

determinantal scheme; G-biliaison; generalized divisor; generically complete intersection scheme; complete intersection;

D O I：

10.1112/S0010437X07003375

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We generalize Gaeta's theorem to the family of determinantal schemes. In other words, we show that the schemes defined by minors of a fixed size of a matrix with polynomial entries belong to the same G-biliaison class of a complete intersection whenever they have maximal possible codimension, given the size of the matrix and of the minors that define them.

引用

页码：689 / 704

页数：16

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