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arXiv 1107.4659math.AG
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多项式的超行列式

Hyperdeterminants of Polynomials

University of California Berkeley(加州大学伯克利分校)

Luke Oeding

AI总结:

本文用几何方法分解多项式超行列式为不可约因子,并给出μ-判别式的类似分解。

摘要:

将多项式视为对称张量,其超行列式可分解为若干不可约因子。利用几何技术,我们识别了这些因子及其次数和重数。类似地,我们得到了多项式的μ-判别式的分解。

英文摘要:

The hyperdeterminant of a polynomial (interpreted as a symmetric tensor) factors into several irreducible factors with multiplicities. Using geometric techniques these factors are identified along with their degrees and their multiplicities. The analogous decomposition for the μ-discriminant of polynomial is found.

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。

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