This is a glossary of algebraic geometry. See also glossary of commutative algebra, glossary of classical algebraic geometry, and glossary of ring theory...

The terminology of algebraic geometry changed drastically during the twentieth century, with the introduction of the general methods, initiated by David...

in algebraic geometry (over the complex numbers for definiteness). The glossary also includes notions from Hamiltonian geometry, Poisson geometry and...

Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometrical problems...

Arithmetic geometry has also been defined as the application of the techniques of algebraic geometry to problems in number theory. See also the glossary of number...

mathematics, Diophantine geometry is the study of Diophantine equations by means of powerful methods in algebraic geometry. By the 20th century it became...

glossary of commutative algebra. See also list of algebraic geometry topics, glossary of classical algebraic geometry, glossary of algebraic geometry...

methods—differential geometry, algebraic geometry, computational geometry, algebraic topology, discrete geometry (also known as combinatorial geometry), etc.—or...

general topology Glossary of algebraic topology Glossary of Riemannian and metric geometry. See also: List of differential geometry topics Words in italics...

arithmetic geometry is roughly the application of techniques from algebraic geometry to problems in number theory. Arithmetic geometry is centered around...

glossary of properties and concepts in algebraic topology in mathematics. See also: glossary of topology, list of algebraic topology topics, glossary...

occurring in algebraic number theory and algebraic geometry. Several concepts of commutative algebras have been developed in relation with algebraic number...

and finding algebraic structures these objects may have (algebraic combinatorics). Outline of combinatorics Glossary of graph theory List of graph theory...

classes of algebraic structures. Algebraic methods were first studied in the ancient period to solve specific problems in fields like geometry. Subsequent...

concept of a Projective space plays a central role in algebraic geometry. This article aims to define the notion in terms of abstract algebraic geometry and...

Numerical algebraic geometry is a field of computational mathematics, particularly computational algebraic geometry, which uses methods from numerical...

of geometry. Fundamentally, it studies algebraic varieties. Algebraic graph theory a branch of graph theory in which methods are taken from algebra and...

specifically algebraic geometry, a scheme is a structure that enlarges the notion of algebraic variety in several ways, such as taking account of multiplicities...

techniques of differential calculus, integral calculus, linear algebra and multilinear algebra. The field has its origins in the study of spherical geometry as...

space Other glossaries Glossary of algebraic topology Glossary of differential geometry and topology Glossary of areas of mathematics Glossary of Riemannian...

the study of algebraic groups belongs both to algebraic geometry and group theory. Many groups of geometric transformations are algebraic groups; for...

Appendix:Glossary of abstract algebra in Wiktionary, the free dictionary. Abstract algebra is the subject area of mathematics that studies algebraic structures...

Noetherian. Finite morphisms are both projective and affine. Glossary of algebraic geometry Finite algebra Shafarevich 2013, p. 60, Def. 1.1. Shafarevich 2013...

algebras of vector bundles are frequently considered in geometry and topology. There are no essential differences between the algebraic properties of...

stack Deligne–Mumford stack Glossary of algebraic geometry Pursuing Stacks Quotient space of an algebraic stack Ring of modular forms Simplicial presheaf...

branches of mathematics such as calculus, differential geometry, algebraic geometry and algebraic topology. The term differential is used nonrigorously...

theorem Algebraic K-theory Exact sequence Glossary of algebraic topology Grothendieck topology Higher category theory Higher-dimensional algebra Homological...

which is a part of commutative algebra, but its proof involves deep results of both algebraic number theory and algebraic geometry. Noncommutative rings...

morphism Dimension of an algebraic variety Glossary of scheme theory Smooth completion Hartshorne, Robin (1977), Algebraic Geometry, Graduate Texts in...

well as analysis, and spurred the development of algebraic and differential topology. Riemannian geometry was first put forward in generality by Bernhard...