(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.

(geometry, uncountable) The field of mathematics which examines extremal problems of a combinatorial nature expressed geometrically. / (geometry, theory of matroids, countable) A simple matroid.

(computer science, geometry) A field of study, within computer science, devoted to algorithms that solve problems formulated in geometric terms.

(geometry) The study of conformal (angle-preserving) transformations on a space; / (formally) an ordered pair comprising a space and the group of conformal transformations that act on the space.

(differential geometry, countable) Given a smooth manifold of odd dimensionality, a distribution (subset) of the tangent bundle that satisfies the condition of complete nonintegrability, or equivalently may be locally defined as the kernel of a maximally nondegenerate differential 1-form;

(number theory) The subbranch of number theory which applies techniques from geometry to the study of algebraic numbers.

(geometry) A type of geometry that rejects the parallel postulate. Given a straight line L and a point P not on the line, more than one straight line can be drawn through P without intersecting L.

(geometry) Any system of geometry not based on the set of axioms of Euclidean geometry, which is based on the three-dimensional space of common experience.

(differential geometry) A type of differential geometry in which the differential invariants studied are invariant under volume-preserving affine transformations.