dc.contributor.author
Sombra, Martín
dc.contributor.author
Yger, Alain
dc.date.issued
2023-03-08T09:55:50Z
dc.date.issued
2023-03-08T09:55:50Z
dc.date.issued
2023-03-08T09:55:51Z
dc.identifier
https://hdl.handle.net/2445/194833
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
application/pdf
dc.publisher
Independent University of Moscow
dc.relation
Reproducció del document publicat a: https://doi.org/10.17323/1609-4514-2021-21-1-129-173
dc.relation
Moscow Mathematical Journal, 2021, vol. 21, num. 1, p. 129-173
dc.relation
https://doi.org/10.17323/1609-4514-2021-21-1-129-173
dc.rights
(c) Independent University of Moscow, 2021
dc.rights
info:eu-repo/semantics/openAccess
dc.source
Articles publicats en revistes (Matemàtiques i Informàtica)
dc.subject
Funcions de diverses variables complexes
dc.subject
Funcions holomorfes
dc.subject
Geometria algebraica aritmètica
dc.subject
Functions of several complex variables
dc.subject
Holomorphic functions
dc.subject
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
