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Arithmetic geometry
Branch of algebraic geometry focused on problems in number theory / From Wikipedia, the free encyclopedia
In mathematics, arithmetic geometry is roughly the application of techniques from algebraic geometry to problems in number theory.[1] Arithmetic geometry is centered around Diophantine geometry, the study of rational points of algebraic varieties.[2][3]
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In more abstract terms, arithmetic geometry can be defined as the study of schemes of finite type over the spectrum of the ring of integers.[4]