Boundary and shape of Cohen-Macaulay cone
Boundary and shape of Cohen-Macaulay cone
复制标题
科恩-麦考利锥的边界和形状
DOI：
10.1007/s00208-015-1231-y
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
Kazuhiko Kurano
中科院分区：
文献类型：
--
作者：
Hailong Dao;Kazuhiko Kurano
设R是Cohen-Macaulay局部域。本文研究了在Chan和Kurano（The cone spanned by maximum Cohen-Macaulay modules and an application. Trans Am Math Soc，2015年出版）。本文证明了关于Cohen-Macaulay域的锥的边界的一个结果，并利用它得到了极大Cohen-Macaulay理想的同构类的有限性的一些推论.最后，我们明确地计算科恩-麦考利锥的某些孤立的超曲面奇点定义。
LetRbe a Cohen–Macaulay local domain. In this paper we study the cone of Cohen–Macaulay modules inside the Grothendieck group of finitely generatedR-modules modulo numerical equivalences, introduced in Chan and Kurano (The cone spanned by maximal Cohen–Macaulay modules and an application. Trans Am Math Soc, to appear, 2015). We prove a result about the boundary of this cone for Cohen–Macaulay domain admitting de Jong’s alterations, and use it to derive some corollaries on finiteness of isomorphism classes of maximal Cohen–Macaulay ideals. Finally, we explicitly compute the Cohen–Macaulay cone for certain isolated hypersurface singularities defined by.