£77.87

Cambridge University Press Point-Counting and the Zilber–Pink Conjecture: 228 (Cambridge Tracts in Mathematics, Series Number 228)

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£85.59 £72.70 £75.51 £78.32 £81.14 £83.95 £86.76 01 November 2025 24 November 2025 18 December 2025 11 January 2026 04 February 2026

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Description

Point-counting results for sets in real Euclidean space have found remarkable applications to diophantine geometry, enabling significant progress on the André–Oort and Zilber–Pink conjectures. The results combine ideas close to transcendence theory with the strong tameness properties of sets that are definable in an o-minimal structure, and thus the material treated connects ideas in model theory, transcendence theory, and arithmetic. This book describes the counting results and their applications along with their model-theoretic and transcendence connections. Core results are presented in detail to demonstrate the flexibility of the method, while wider developments are described in order to illustrate the breadth of the diophantine conjectures and to highlight key arithmetical ingredients. The underlying ideas are elementary and most of the book can be read with only a basic familiarity with number theory and complex algebraic geometry. It serves as an introduction for postgraduate students and researchers to the main ideas, results, problems, and themes of current research in this area.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
09 June 2022
Listed Since
09 December 2021

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