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arXiv math/0007036math.AG
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多元结式的显式公式

Explicit formulas for the multivariate resultant

Carlos D'Andrea, Alicia Dickenstein

摘要:

我们提出了公式的齐次多元结果作为两个行列式的商。它们扩展了经典的Macaulay公式,并涉及相当小的矩阵,其非零项包括给定多项式的系数和它们的Bezoutian系数。这些公式也可以被看作是一个显式计算的态射和行列式的一个结果复杂。

英文摘要:

We present formulas for the homogenous multivariate resultant as a quotient of two determinants. They extend classical Macaulay formulas, and involve matrices of considerably smaller size, whose non zero entries include coefficients of the given polynomials and coefficients of their Bezoutian. These formulas can also be viewed as an explicit computation of the morphisms and the determinant of a resultant complex.

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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