Arithmetic geometry

Noun

Definitions

1.NounA developing branch of mathematics in which techniques of algebraic geometry are applied to number theory, in particular being concerned with schemes of finite type over the spectrum of the ring of integers, Spec(ℤ).

Synonyms

geometry of numbers algebraic geometry algebraic geometer higher arithmetic diophantine geometry arithmetic combinatorics algebraic number theory geometry anabelian geometry algebraic graph theory absolute geometry algebraic analysis

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