2次生成理想的Boij-Soderberg理论
Boij-Soderberg theory for ideals generated by degree 2
摘要：
在Boij-Soderberg理论中，已知对于任何度序列$\mathbf{d}$，存在具有$\mathbf{d}$类型的纯归结的有限生成模。另一方面，在理想的情况下，度序列有两个必要条件，如果存在具有$\mathbf{d}$类型的纯分解的理想，则$\mathbf{d}$满足它们。本文利用一般初始理想理论和Boij-Soderberg分解，构造了满足这些条件但不存在一般初始理想的度序列.
英文摘要：
In Boij-Soderberg theory, it is known that for any degree sequence $\mathbf{d}$, there exists a finitely generated module that has a pure resolution of type $\mathbf{d}$. On the other hand, in the case of ideal, there are two necessary conditions for the degree sequence, which $\mathbf{d}$ satisfies them if there is an ideal that has a pure resolution of type $\mathbf{d}$. In this paper, by theory of generic initial ideals and Boij-Soderberg decompositions, we construct the degree sequence which satisfies these conditions but there is no such an ideal.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
