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Bounds for degrees of syzygies of polynomials defining a grade two ideal

# metadata.dc.description.abstract[].value
We make explicit the exponential bound on the degrees of the polynomials appearing in the Effective Quillen-Suslin Theorem, and apply it jointly with the Hilbert-Burch Theorem to show that the syzygy module of a sequence of $m$ polynomials in $n$ variables defining a complete intersection ideal of grade two is free, and that a basis of it can be computed with bounded degrees. In the known cases, these bounds improve previous results.

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Journal of Symbolic Computation, 2023, vol. 115, p. 124-141

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cc by (c) Teresa Cortadellas Benítez et al., 2023

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Articles publicats en revistes (Matemàtiques i Informàtica)

# metadata.dc.title[].value
Bounds for degrees of syzygies of polynomials defining a grade two ideal