dc.contributor.author
Cox, D.A.
dc.contributor.author
D’Andrea, C.
dc.date.accessioned
2023-08-29T10:48:15Z
dc.date.accessioned
2024-09-19T14:35:36Z
dc.date.available
2023-08-29T10:48:15Z
dc.date.available
2024-09-19T14:35:36Z
dc.date.issued
2023-02-15
dc.identifier.uri
http://hdl.handle.net/2072/536863
dc.description.abstract
In nice cases, a zero-dimensional complete intersection ideal over a field has a Shape Lemma. There are also cases where the ideal is generated by the resultant and first subresultant polynomials of the generators. This paper explores the relation between these representations and studies when the resultant generates the elimination ideal. We also prove a Poisson formula for resultants arising from the hidden variable method. © 2023 American Mathematical Society
eng
dc.description.sponsorship
The second author was supported by the Spanish MICINN research project PID2019-104047GB-I00, the Spanish State Research Agency, through the Severo Ochoa and María de Maeztu Program for Centers and Units of Excellence in R&D (CEX2020-001084-M), and the European H2020-MSCA-ITN-2019 research project GRAPES. This paper is dedicated to Teresa Krick on the occasion of the TeresaFest 2021 conference in her honor.
dc.format.extent
25 p.
cat
dc.publisher
American Mathematical Society
dc.relation.ispartof
Mathematics of Computation
cat
dc.rights
This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). https://rightsstatements.org/page/InC/1.0/?language=en
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Poisson formula; resultant; Shape Lemma; subresultant
cat
dc.title
SUBRESULTANTS AND THE SHAPE LEMMA
cat
dc.type
info:eu-repo/semantics/article
cat
dc.type
info:eu-repo/semantics/submittedVersion
cat
dc.identifier.doi
10.1090/mcom/3840
cat
dc.rights.accessLevel
info:eu-repo/semantics/openAccess
