对称幂：结构、平滑性和应用

arXiv - MATH - Commutative Algebra Pub Date : 2024-08-05 DOI:arxiv-2408.02754

Cosimo Flavi, Joachim Jelisiejew, Mateusz Michałek

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引用次数: 0

摘要

我们研究了多项式扭曲幂的边界等级和代数对称幂的可平滑性。我们证明后者是可平滑的。对于前者，我们得到了一般边界秩的上限，并证明它们在温和条件下是最优的。我们给出了复杂性理论的应用。

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Symmetric powers: structure, smoothability, and applications

We investigate border ranks of twisted powers of polynomials and smoothability of symmetric powers of algebras. We prove that the latter are smoothable. For the former, we obtain upper bounds for the border rank in general and prove that they are optimal under mild conditions. We give applications to complexity theory.

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来源期刊

arXiv - MATH - Commutative Algebra

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