戈洛德环上残差域的 Syzygies

arXiv - MATH - Commutative Algebra Pub Date : 2024-08-24 DOI:arxiv-2408.13425

Doan Trung Cuong, Hailong Dao, David Eisenbud, Toshinori Kobayashi, Claudia Polini, Bernd Ulrich

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引用次数: 0

摘要

让 $(R,m,k)$ 是一个戈罗德环。我们展示了 $k$ 的高对称性相对于之前对称性的重复公式。在嵌入维度最多为 $2$ 的情况下，我们提供了对 $k$ 所有对称性的所有不可分解和子的完整描述。

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Syzygies of the residue field over Golod rings

Let $(R,m,k)$ be a Golod ring. We show a recurrent formula for high syzygies of $k$ interms of previous ones. In the case of embedding dimension at most $2$, we provided complete descriptions of all indecomposable summands of all syzygies of $k$.

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arXiv - MATH - Commutative Algebra

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