On the Structure of Arithmetically Buchsbaum Curves in Pk3
On the Structure of Arithmetically Buchsbaum Curves in Pk3
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论Pk3中算术Buchsbaum曲线的结构
DOI：
10.2977/prims/1195181111
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发表时间：
1984
影响因子：
1.2
通讯作者：
M. Amasaki
中科院分区：
文献类型：
--
作者：
M. Amasaki
变形P|这些曲线。让我们解释一下每一部分的内容。第1款. [1 ;第3节]有时是不方便的，因为它涉及不必要的程序，也就是说，我们必须事先采取一个理想/这样，R/J是科恩-麦考利。我们放弃了这一过程，并对[1;命题3.1]作了简单的修改，定义了任意齐次理想IdR的一个数值不变的“基本序列”，使得dim R/I-2和depthm/？//^ l（命题1.3，定义1.4），它扩展了[9]中的“数字特征”。它是一个整数序列（a; vlr · ·，va '，va+i，'”^c+&），由f的特殊生成元的次数组成。第2款.模Hi（<5）的结构在每种情况下都很重要，我们提到了矩阵lz（见[1 ;第3节]）和
deformations in P| of those curves. Let us explain the content of each section. Section 1. The results of [1 ; Section 3] are sometimes inconvenient, because it involves unnecessary procedure, that is, we have to take beforehand an ideal / such that R/J is Cohen-Macaulay. We give up this procedure and make simple modification of [1; Proposition 3.1] to define a numerical invariant "basic sequence" of an arbitrary homogeneous ideal IdR such that dim R/I—2 and depthm/?//^l (Proposition 1.3, Definition 1.4), which extend "caractere numerique" of [9]. It is a sequence of integers (a; vlr • • , va ', va+i, '" ^c+&) consisting of the degrees of the special generators of /. Section 2. The structure of the module Hi(<5) is important in every case, and we mentioned the relations between the matrix lz (see [1 ; Section 3]) and