Cortadellas Benítez, TeresaD'Andrea, Carlos, 1973-Montoro López, M. Eulàlia2023-03-312023-03-312023-030747-7171https://hdl.handle.net/2445/196304We 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.18 p.application/pdfengcc by (c) Teresa Cortadellas Benítez et al., 2023http://creativecommons.org/licenses/by/3.0/es/Àlgebra commutativaÀlgebra homològicaAnells commutatiusGeometria algebraicaAlgorismes computacionalsCommutative algebraHomological algebraCommutative ringsAlgebraic geometryComputer algorithmsinfo:eu-repo/semantics/article7290532023-03-31info:eu-repo/semantics/openAccess