(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).

(mathematics) A developing branch of mathematics in which techniques of algebraic geometry are applied to number theory (specifically the theory of Diophantine equations), in particular being concerned with algebraic varieties over fields that are finitely generated over their prime fields and over local fields.

(geometry) Any geometric system that has only a finite number of points. / (geometry, uncountable) The branch of geometry that concerns geometric systems with only a finite number of points.

(geometry) Absolute geometry, an axiomatised geometry in which the parallel postulate is absent and not replaced by an alternative, and of which Euclidean geometry and some non-Euclidean geometries are subtypes.

Alternative form of analytic geometry

(of an aircraft) Having the ability to adjust the shape / configuration of its wings whilst in flight

(art, historical) The artistic style of an informal group or school of young British sculptors in the years after the Second World War, characterized by angular, jagged forms thought to reflect post-war angst and guilt.

(geometry) The single (up to logical equivalence) geometry whose axiomatic system is equivalent to that of Euclidean geometry without the parallel postulate or any alternative.

(algebraic geometry) A field of algebraic geometry in which the aim is to determine under what conditions two algebraic varieties are isomorphic outside lower-dimensional subsets.

(mathematics) The study of complex manifolds, complex algebraic varieties, and functions of several complex variables. / (countable) Used other than figuratively or idiomatically: see complex, geometry.