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How to compute the Chow form of an unmixed polynomial ideal in single exponential time

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Applicable Algebra in Engineering, Communication and Computing Aims and scope

Abstract

LetK be a field andF 1,⋯, F m homogeneous polynomials in the indeterminatesX 0 ,⋯, X n with coefficients inK. We describe anefficiently parallelizable single exponential time algorithm which computes the Chow form of the idealI:= (F 1 ,⋯, F m ), provided that I is unmixed. This algorithm requires only linear algebra computations overK.

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Authors and Affiliations

  1. Working group Noaï Fitchas, Instituto Argentino de Matemática (IAM-CONICET), Viamonte 1636, 1er piso, 1er cuerpo., 1055, Buenos Aires, Argentina

    Leandro Caniglia

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  1. Leandro Caniglia
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Caniglia, L. How to compute the Chow form of an unmixed polynomial ideal in single exponential time. AAECC 1, 25–41 (1990). https://doi.org/10.1007/BF01810845

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  • DOI: https://doi.org/10.1007/BF01810845

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