从希尔伯特多项式中找回 $λ$

arXiv - CS - Symbolic Computation Pub Date : 2024-05-21 DOI:arxiv-2405.12886

Joseph Donato, Monica Lewis

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引用次数: 0

摘要

在对希尔伯特方案的研究中，整数分割 $\lambda$ 可以帮助研究人员识别相关方案的一些几何和组合性质。为了帮助研究人员从希尔伯特多项式中提取这些信息，我们描述了一种高效的算法，它可以识别$p(x)\in\mathbb{Q}[x]$是否是希尔伯特多项式，如果是，则恢复与之相关的整数分区$\lambda$。

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The Recovery of $λ$ from a Hilbert Polynomial

In the study of Hilbert schemes, the integer partition $\lambda$ helps researchers identify some geometric and combinatorial properties of the scheme in question. To aid researchers in extracting such information from a Hilbert polynomial, we describe an efficient algorithm which can identify if $p(x)\in\mathbb{Q}[x]$ is a Hilbert polynomial and if so, recover the integer partition $\lambda$ associated with it.

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arXiv - CS - Symbolic Computation

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