Quantitative equidistribution of Galois orbits of small points in the N-dimensional torus
| Autor: | Carlos D'Andrea, Martín Sombra, Marta Narváez-Clauss |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Pure mathematics
Uniform distribution (continuous) Limit distribution 01 natural sciences Mathematics - Algebraic Geometry 0103 physical sciences FOS: Mathematics algebraic torus Point (geometry) Number Theory (math.NT) Complex Variables (math.CV) 0101 mathematics Algebraic Geometry (math.AG) 11K38 43A25 Mathematics 11G50 Algebra and Number Theory Mathematics - Number Theory N dimensional Degree (graph theory) Mathematics - Complex Variables 010102 general mathematics Torus Algebraic torus height of points equidistribution of Galois orbits Orbit (dynamics) 11G50 (Primary) 11K38 43A25 (Secondary) 010307 mathematical physics |
| Zdroj: | Algebra Number Theory 11, no. 7 (2017), 1627-1655 |
| ISSN: | 1944-7833 1937-0652 |
| Popis: | We present a quantitative version of Bilu's theorem on the limit distribution of Galois orbits of sequences of points of small height in the $N$-dimensional algebraic torus. Our result gives, for a given point, an explicit bound for the discrepancy between its Galois orbit and the uniform distribution on the compact subtorus, in terms of the height and the generalized degree of the point. Revised version accepted for publication in Algebra & Number Theory, 23 pages, amslatex |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|