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

# metadata.dc.description.abstract[].value
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.

# metadata.dc.relation.ispartof[].value
Moscow Mathematical Journal, 2021, vol. 21, num. 1, p. 129-173

# metadata.dc.rights[].value
(c) Independent University of Moscow, 2021

# metadata.dc.source[].value
Articles publicats en revistes (Matemàtiques i Informàtica)

# metadata.dc.subject.classification[].value
Funcions de diverses variables complexes

# metadata.dc.title[].value
Bounds for multivariate residues and for the polynomials in the elimination theorem