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Bounds for multivariate residues and for the polynomials in the elimination theorem

hal.structure.identifierICREA Infection Biology Laboratory [Department of Experimental and Health Sciences]
dc.contributor.authorSOMBRA, Martin
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorYGER, Alain
dc.date2020
dc.date.accessioned2024-04-04T02:51:59Z
dc.date.available2024-04-04T02:51:59Z
dc.date.issued2020
dc.identifier.issn1609-3321
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/192022
dc.description.abstractEnWe present several upper bounds for the height of global residues of rational forms on an affine variety defined over Q. As an application, we deduce upper bounds for the height of the coefficients in the Bergman-Weil trace formula. We also present upper bounds for the degree and the height of the polynomials in the elimination theorem on an affine variety defined over Q. This is an arithmetic analogue of Jelonek's effective elimination theorem, and it plays a crucial role in the proof of our bounds for the height of global residues.
dc.language.isoen
dc.publisherIndependent University of Moscow
dc.title.enBounds for multivariate residues and for the polynomials in the elimination theorem
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Variables complexes [math.CV]
dc.subject.halMathématiques [math]/Algèbre commutative [math.AC]
bordeaux.journalMoscow Mathematical Journal
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-02879624
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-02879624v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Moscow%20Mathematical%20Journal&rft.date=2020&rft.eissn=1609-3321&rft.issn=1609-3321&rft.au=SOMBRA,%20Martin&YGER,%20Alain&rft.genre=article


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