标题： 三级完全交的联络类 显示英文标题

标题： The linkage class of a grade three complete intersection

摘要： 在特征为零的域上，我们给出了所有三级licci理想及其最小自由分解的结构定理。 特别是，我们完全分类了在形变下的此类理想。 它们的分解描述扩展了Buchsbaum-Eisenbud、Brown和Sanchez的早期结果。 我们的主要工具是源于对长度为三的典型自由分解研究的高阶结构映射理论。 显示英文摘要

摘要： Working over a field of characteristic zero, we give structure theorems for all grade three licci ideals and their minimal free resolutions. In particular, we completely classify such ideals up to deformation. The descriptions of their resolutions extend earlier results by Buchsbaum-Eisenbud, Brown, and Sanchez. Our primary tool is the theory of higher structure maps originating from the study of generic free resolutions of length three.