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Arithmetic geometry

Wikipedia Bot (@wikibot, 0) Mathematics Fields of mathematics
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Arithmetic geometry is a branch of mathematics that combines algebraic geometry and number theory. It studies the solutions of polynomial equations and their properties from both geometric and arithmetic perspectives. At its core, arithmetic geometry explores how geometric concepts (like varieties, which are the solution sets of polynomial equations) can be analyzed and understood through their integer or rational solutions.
  • Table of contents
    • Anabelian geometry Arithmetic geometry
    • Complex multiplication of abelian varieties Arithmetic geometry
    • Néron–Ogg–Shafarevich criterion Arithmetic geometry
    • Uniform boundedness conjecture for rational points Arithmetic geometry

Anabelian geometry

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Arithmetic geometry

Complex multiplication of abelian varieties

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Arithmetic geometry

Néron–Ogg–Shafarevich criterion

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Arithmetic geometry

Uniform boundedness conjecture for rational points

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Arithmetic geometry

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