Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/168539
Title: | An arithmetic Bernstein-Kushnirenko inequality |
Author: | Martínez, César Sombra, Martín |
Keywords: | Geometria algebraica Varietats tòriques Funcions convexes Algebraic geometry Toric varieties Convex functions |
Issue Date: | 6-Sep-2018 |
Publisher: | Springer Verlag |
Abstract: | We present an upper bound for the height of the isolated zeros in the torus of a system of Laurent polynomials over an adelic field satisfying the product formula. This upper bound is expressed in terms of the mixed integrals of the local roof functions associated to the chosen height function and to the system of Laurent polynomials. We also show that this bound is close to optimal in some families of examples. This result is an arithmetic analogue of the classical Bern¿tein-Ku¿nirenko theorem. Its proof is based on arithmetic intersection theory on toric varieties. |
Note: | Versió postprint del document publicat a: https://doi.org/10.1007/s00209-018-2107-0 |
It is part of: | Mathematische Zeitschrift, 2018, vol. 291, p. 1211-1244 |
URI: | http://hdl.handle.net/2445/168539 |
Related resource: | https://doi.org/10.1007/s00209-018-2107-0 |
ISSN: | 0025-5874 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
702667.pdf | 485.8 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.