💡 Words with a Similar Meaning to "Arithmetic geometry"
Found via reverse dictionary — words that share a conceptual meaning.
| Word | Definition |
|---|---|
| geometry of numbersnoun | (number theory) The subbranch of number theory which applies techniques from geometry to the study of algebraic numbers. |
| algebraic geometrynoun | (mathematics) A branch of mathematics that studies algebraic varieties (solution sets of polynomial equations) and their generalisations, using techniques from both algebra (chiefly commutative algebra) and geometry. |
| algebraic geometernoun | A mathematician who specializes in algebraic geometry. |
| higher arithmeticnoun | (mathematics, chiefly dated) Number theory; the branch of pure mathematics concerned primarily with integers and integer-valued functions. |
| diophantine geometrynoun | (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. |
| arithmetic combinatoricsnoun | (mathematics) A field of mathematics in the intersection of number theory, combinatorics, ergodic theory and harmonic analysis. |
| algebraic number theorynoun | (mathematics, number theory) The branch of number theory in which number-theoretic questions are expressed in terms of properties of algebraic number fields or related objects, and studied using techniques from algebra. |
| geometrynoun | (mathematics, uncountable) The branch of mathematics dealing with spatial relationships. |
| anabelian geometrynoun | (mathematics, algebraic geometry, arithmetic geometry) A theory which describes the way in which the algebraic fundamental group G of an algebraic variety (or some related geometric object) V determines how V can be mapped into another geometric object W, under the assumption that G is very far from being abelian (commutative). |
| algebraic graph theorynoun | (uncountable, mathematics, graph theory) The subbranch of graph theory in which algebraic methods are applied to problems about graphs. |
| absolute geometrynoun | (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 analysisnoun | Used other than figuratively or idiomatically: see algebraic, analysis.; the use of techniques from algebra (especially elementary algebra) to analyse and solve problems. |
| algebraic varietynoun | (algebraic geometry) The set of solutions of a given system of polynomial equations over the real or complex numbers; any of certain generalisations of such a set that preserves the geometric intuition implicit in the original definition. |
| analytical geometrynoun | Alternative form of analytic geometry. [(geometry) The subbranch of geometry that investigates geometrical figures via the mathematical properties of their representations in a coordinate system.] |
| geometric analysisnoun | (mathematical analysis, geometry, topology) A branch of mathematics in which techniques from differential geometry are used in the analysis and solution of partial differential equations, and vice versa. |
| analytic geometrynoun | (geometry) The subbranch of geometry that investigates geometrical figures via the mathematical properties of their representations in a coordinate system. |
| abstract analytic number theorynoun | (number theory) A branch of number theory in which suitable ideas and techniques from analytic number theory are generalised and applied to a variety of mathematical fields. |
| imaginary geometrynoun | (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. |
| birational geometrynoun | (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. |
| abstract algebranoun | (mathematics) The branch of mathematics concerned with algebraic structures, such as groups, rings, and fields. |
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