dc.contributor.author
Cortadellas Benítez, T.
dc.contributor.author
D'Andrea, C.
dc.contributor.author
Montoro, M.E.
dc.date.accessioned
2023-03-29T07:24:29Z
dc.date.accessioned
2024-09-19T14:25:46Z
dc.date.available
2023-03-29T07:24:29Z
dc.date.available
2024-09-19T14:25:46Z
dc.date.issued
2022-08-04
dc.identifier.uri
http://hdl.handle.net/2072/532581
dc.description.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. © 2022 The Author(s)
eng
dc.description.sponsorship
Ministerio de Ciencia e Innovación, MICINN: MTM 2015-65361-P, MTM2013-40775-P, PID 2019-104844GB-100, PID2019-104047GB-I00; Agencia Estatal de Investigación, AEI: CEX2020-001084-M
dc.format.extent
18 p.
cat
dc.publisher
Elsevier
cat
dc.relation.ispartof
Journal of Symbolic Computation
cat
dc.rights
L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: https://creativecommons.org/licenses/by/4.0/
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Degree bounds; Effective Quillen-Suslin theorem; Hilbert-Burch theorem; Syzygyes; μ-bases
cat
dc.title
Bounds for degrees of syzygies of polynomials defining a grade two ideal
cat
dc.type
info:eu-repo/semantics/article
cat
dc.type
info:eu-repo/semantics/publishedVersion
cat
dc.identifier.doi
10.1016/j.jsc.2022.08.004
cat
dc.rights.accessLevel
info:eu-repo/semantics/openAccess
