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Title: | Bounds for degrees of syzygies of polynomials defining a grade two ideal |
Author: | Cortadellas Benítez, Teresa D'Andrea, Carlos, 1973- Montoro López, M. Eulàlia |
Keywords: | Àlgebra commutativa Àlgebra homològica Anells commutatius Geometria algebraica Algorismes computacionals Commutative algebra Homological algebra Commutative rings Algebraic geometry Computer algorithms |
Issue Date: | Mar-2023 |
Publisher: | Elsevier Ltd |
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. |
Note: | Reproducció del document publicat a: https://doi.org/10.1016/j.jsc.2022.08.004 |
It is part of: | Journal of Symbolic Computation, 2023, vol. 115, p. 124-141 |
URI: | http://hdl.handle.net/2445/196304 |
Related resource: | https://doi.org/10.1016/j.jsc.2022.08.004 |
ISSN: | 0747-7171 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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