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arXiv · 2012.08137

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

Teresa Cortadellas Benitez·Carlos D'Andrea·Eulalia Montoro
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Abstract

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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Teresa Cortadellas Benitez, Carlos D'Andrea, Eulalia Montoro. 2020-12-15. Bounds for degrees of syzygies of polynomials defining a grade two ideal. https://arxiv.org/abs/2012.08137

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