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- W4295676837 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 Bernv{s}tein-Kuv{s}nirenko theorem. Its proof is based on arithmetic intersection theory on toric varieties." @default.
- W4295676837 created "2022-09-14" @default.
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- W4295676837 date "2016-09-02" @default.
- W4295676837 modified "2023-10-14" @default.
- W4295676837 title "An arithmetic Bernv{s}tein-Kuv{s}nirenko inequality" @default.
- W4295676837 doi "https://doi.org/10.48550/arxiv.1609.00509" @default.
- W4295676837 hasPublicationYear "2016" @default.
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