arithmetic geometry

== English == === Alternative forms === arithmetical geometry === Noun === arithmetic geometry (uncountable) (mathematics) A 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). 1994, Nancy Childress, John W. Jones (editors), Arithmetic Geometry: Conference on Arithmetic Geometry with an Emphasis on Iwasawa Theory, American Mathematical Society, back cover, This book resulted from a research conference in arithmetic geometry held at Arizona State University in March 1993. ==== Synonyms ==== (branch of mathematics): arithmetic algebraic geometry, arithmetical algebraic geometry ==== Translations ==== === Further reading === Glossary of arithmetic and diophantine geometry on Wikipedia.Wikipedia Diophantine geometry on Wikipedia.Wikipedia Algebraic geometry on Wikipedia.Wikipedia Arithmetic Geometry on Wolfram MathWorld