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

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

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

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...

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

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

in mathematics Hessian form of an elliptic curve Hessian group Hessian polyhedron Glossary of classical algebraic geometry § Hessian, other mathematical...

glossary of tensor theory. For expositions of tensor theory from different points of view, see: Tensor Tensor (intrinsic definition) Application of tensor...

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

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

ordered sets, or finite geometries. On the algebraic side, besides group and representation theory, lattice theory and commutative algebra are common. Combinatorics...

Algebra is a branch of mathematics that deals with abstract systems, known as algebraic structures, and the manipulation of expressions within those systems...

Cayleyan. Glossary of classical algebraic geometry Cayley, Arthur (1857), "A Memoir on Curves of the Third Order", Philosophical Transactions of the Royal...

or algebraic dimension to distinguish it from other notions of dimension. For the non-free case, this generalizes to the notion of the length of a module...

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

437) Glossary of classical algebraic geometry Cayley, Arthur (1869), "A Memoir on the Theory of Reciprocal Surfaces", Philosophical Transactions of the...

tensor List of differential geometry topics Glossary of Riemannian and metric geometry What follows is an incomplete list of the most classical theorems...

geometric terms used in invariant theory see the glossary of classical algebraic geometry. Definitions of many terms used in invariant theory can be found...

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

3.  Algebraic closure: If F is a field, then F ¯ {\displaystyle {\overline {F}}} is its algebraic closure, that is, the smallest algebraically closed...

In mathematics, more specifically algebra, abstract algebra or modern algebra is the study of algebraic structures, which are sets with specific operations...

abstract idea of a 'category' — a subject then called 'general abstract nonsense'! — Saunders Mac Lane (1997) [Grothendieck] raised algebraic geometry to a new...

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

is transformed to one of the form x3 = D. Glossary of classical algebraic geometry Edge, W. L. (1978), "Bring's curve", Journal of the London Mathematical...

inclusive glossaries concerning related fields of science and technology, see Glossary of chemistry terms, Glossary of astronomy, Glossary of areas of mathematics...

Orientation (geometry) Improper rotation Symplectic structure Multilinear algebra Tensor Classical treatment of tensors Component-free treatment of tensors...

studies modules over these abstract algebraic structures. In essence, a representation makes an abstract algebraic object more concrete by describing its...

glossary of engineering terms is a list of definitions about the major concepts of engineering. Please see the bottom of the page for glossaries of specific...

glossary of engineering terms is a list of definitions about the major concepts of engineering. Please see the bottom of the page for glossaries of specific...