Bounds for multivariate residues and for the polynomials in the elimination theorem
| dc.contributor.author | Sombra, Martín | |
| dc.contributor.author | Yger, Alain | |
| dc.date.accessioned | 2023-03-08T09:55:50Z | |
| dc.date.available | 2023-03-08T09:55:50Z | |
| dc.date.issued | 2021 | |
| dc.date.updated | 2023-03-08T09:55:51Z | |
| dc.description.abstract | We present several upper bounds for the height of global residues of rational forms on an affine variety. As a consequence, 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. This is an arithmetic analogue of Jelonek's effective elimination theorem, that plays a crucial role in the proof of our bounds for the height of global residues. | |
| dc.format.extent | 45 p. | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.idgrec | 711278 | |
| dc.identifier.issn | 1609-3321 | |
| dc.identifier.uri | https://hdl.handle.net/2445/194833 | |
| dc.language.iso | eng | |
| dc.publisher | Independent University of Moscow | |
| dc.relation.isformatof | Reproducció del document publicat a: https://doi.org/10.17323/1609-4514-2021-21-1-129-173 | |
| dc.relation.ispartof | Moscow Mathematical Journal, 2021, vol. 21, num. 1, p. 129-173 | |
| dc.relation.uri | https://doi.org/10.17323/1609-4514-2021-21-1-129-173 | |
| dc.rights | (c) Independent University of Moscow, 2021 | |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
| dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | |
| dc.subject.classification | Funcions de diverses variables complexes | |
| dc.subject.classification | Funcions holomorfes | |
| dc.subject.classification | Geometria algebraica aritmètica | |
| dc.subject.other | Functions of several complex variables | |
| dc.subject.other | Holomorphic functions | |
| dc.subject.other | Arithmetical algebraic geometry | |
| dc.title | Bounds for multivariate residues and for the polynomials in the elimination theorem | |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion |
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