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http://hdl.handle.net/2445/194833| Title: | Bounds for multivariate residues and for the polynomials in the elimination theorem |
| Author: | Sombra, Martín Yger, Alain |
| Keywords: | Funcions de diverses variables complexes Funcions holomorfes Geometria algebraica aritmètica Functions of several complex variables Holomorphic functions Arithmetical algebraic geometry |
| Issue Date: | 2021 |
| Publisher: | Independent University of Moscow |
| 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. |
| Note: | Reproducció del document publicat a: https://doi.org/10.17323/1609-4514-2021-21-1-129-173 |
| It is part of: | Moscow Mathematical Journal, 2021, vol. 21, num. 1, p. 129-173 |
| URI: | http://hdl.handle.net/2445/194833 |
| Related resource: | https://doi.org/10.17323/1609-4514-2021-21-1-129-173 |
| ISSN: | 1609-3321 |
| Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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|---|---|---|---|---|
| 711278.pdf | 715.99 kB | Adobe PDF | View/Open |
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