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2021

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/194833

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

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https://doi.org/10.17323/1609-4514-2021-21-1-129-173

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.

Subject

Funcions de diverses variables complexes, Funcions holomorfes, Geometria algebraica aritmètica

Subject (English)

Functions of several complex variables, Holomorphic functions, Arithmetical algebraic geometry

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Articles publicats en revistes (Matemàtiques i Informàtica)

Citation

SOMBRA, Martín and YGER, Alain. Bounds for multivariate residues and for the polynomials in the elimination theorem. Moscow Mathematical Journal. 2021. Vol. 21, num. 1, pags. 129-173. ISSN 1609-3321. [consulted: 12 of August of 2026]. Available at: https://hdl.handle.net/2445/194833

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