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dc.contributor.author
D Andrea, Carlos A  
dc.contributor.author
Jeronimo, Gabriela Tali  
dc.date.available
2025-09-16T10:08:04Z  
dc.date.issued
2025-06  
dc.identifier.citation
D Andrea, Carlos A; Jeronimo, Gabriela Tali; Sparse Nullstellensatz, Resultants, and Determinants of Complexes; Oxford University Press; International Mathematics Research Notices; 2025; 12; 6-2025; 1-23  
dc.identifier.issn
1073-7928  
dc.identifier.uri
http://hdl.handle.net/11336/271061  
dc.description.abstract
We refine and extend a result by Tuitman on the supports of a Bézout identity satisfied by a finite sequence of sparse Laurent polynomials without common zeroes in the toric variety associated to their supports. When the number of these polynomials is one more than the dimension of the ambient space, we obtain a formula for computing the sparse resultant as the determinant of a Koszul-type complex.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Oxford University Press  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
HILBERT'S NULLSTELLENSATZ  
dc.subject
SPARSE RESULTANTS  
dc.subject
DETERMINANTS OF COMPLEXES  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Sparse Nullstellensatz, Resultants, and Determinants of Complexes  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2025-09-15T12:37:19Z  
dc.journal.volume
2025  
dc.journal.number
12  
dc.journal.pagination
1-23  
dc.journal.pais
Reino Unido  
dc.description.fil
Fil: D Andrea, Carlos A. Universidad de Barcelona; España  
dc.description.fil
Fil: Jeronimo, Gabriela Tali. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina  
dc.journal.title
International Mathematics Research Notices  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://academic.oup.com/imrn/article-abstract/2025/12/rnaf174/8171535?redirectedFrom=fulltext  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1093/imrn/rnaf174  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/2407.13450  

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