Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometrical problems... 60 KB (7,405 words) - 17:41, 21 April 2024 |
methods—differential geometry, algebraic geometry, computational geometry, algebraic topology, discrete geometry (also known as combinatorial geometry), etc.—or... 100 KB (9,874 words) - 21:48, 22 March 2024 |
algebraic geometry and analytic geometry are two closely related subjects. While algebraic geometry studies algebraic varieties, analytic geometry deals... 19 KB (2,516 words) - 12:39, 7 April 2024 |
This is a glossary of algebraic geometry. See also glossary of commutative algebra, glossary of classical algebraic geometry, and glossary of ring theory... 82 KB (12,488 words) - 23:03, 26 April 2024 |
In algebraic geometry, motives (or sometimes motifs, following French usage) is a theory proposed by Alexander Grothendieck in the 1960s to unify the vast... 33 KB (4,920 words) - 01:20, 25 April 2024 |
Algebraic varieties are the central objects of study in algebraic geometry, a sub-field of mathematics. Classically, an algebraic variety is defined as... 41 KB (5,757 words) - 19:07, 31 March 2024 |
In algebraic geometry, divisors are a generalization of codimension-1 subvarieties of algebraic varieties. Two different generalizations are in common... 40 KB (6,609 words) - 18:59, 14 April 2023 |
models not describable via linear algebra. This period in geometry was overtaken by research on the general algebraic curve by Clebsch, Riemann, Max Noether... 39 KB (5,092 words) - 01:36, 31 March 2024 |
mathematics, real algebraic geometry is the sub-branch of algebraic geometry studying real algebraic sets, i.e. real-number solutions to algebraic equations with... 26 KB (3,213 words) - 00:13, 28 January 2024 |
Algebraic geometry codes, often abbreviated AG codes, are a type of linear code that generalize Reed–Solomon codes. The Russian mathematician V. D. Goppa... 11 KB (1,586 words) - 20:31, 14 February 2024 |
transcendental methods to algebraic geometry falls in this category, together with more geometric aspects of complex analysis. Complex geometry sits at the intersection... 26 KB (3,677 words) - 14:31, 7 September 2023 |
Derived algebraic geometry is a branch of mathematics that generalizes algebraic geometry to a situation where commutative rings, which provide local... 14 KB (1,810 words) - 19:47, 28 December 2023 |
In mathematics, an affine algebraic plane curve is the zero set of a polynomial in two variables. A projective algebraic plane curve is the zero set in... 49 KB (7,984 words) - 19:34, 7 February 2024 |
Noncommutative algebraic geometry is a branch of mathematics, and more specifically a direction in noncommutative geometry, that studies the geometric... 13 KB (1,709 words) - 14:17, 24 June 2023 |
Scheme (mathematics) (redirect from Scheme (algebraic geometry)) commutative algebra can be viewed as an algebraic approach to affine algebraic varieties. However, many arguments in algebraic geometry work better for... 32 KB (4,494 words) - 01:14, 26 March 2024 |
classes of algebraic structures. Algebraic methods were first studied in the ancient period to solve specific problems in fields like geometry. Subsequent... 120 KB (12,009 words) - 22:58, 8 April 2024 |
mathematics, Diophantine geometry is the study of Diophantine equations by means of powerful methods in algebraic geometry. By the 20th century it became... 8 KB (935 words) - 20:18, 2 February 2024 |
Alexander Grothendieck (category Algebraic geometers) of modern algebraic geometry. His research extended the scope of the field and added elements of commutative algebra, homological algebra, sheaf theory... 77 KB (8,253 words) - 10:24, 9 March 2024 |
Mathematics (section Geometry) continuous deformations. Algebraic topology, the use in topology of algebraic methods, mainly homological algebra. Discrete geometry, the study of finite... 167 KB (16,258 words) - 20:34, 25 April 2024 |
In algebraic geometry, a period is a number that can be expressed as an integral of an algebraic function over an algebraic domain. Sums and products of... 8 KB (974 words) - 03:21, 4 December 2023 |
reconstructed from the Banach algebra of functions on the space (Gelfand–Naimark). In commutative algebraic geometry, algebraic schemes are locally prime... 21 KB (2,385 words) - 04:32, 15 March 2024 |
universal algebra, an algebraic structure is called an algebra; this term may be ambiguous, since, in other contexts, an algebra is an algebraic structure... 20 KB (2,684 words) - 12:17, 9 April 2024 |
Equation (redirect from Unknown (algebra)) as π that are not algebraic are said to be transcendental. Almost all real and complex numbers are transcendental. Algebraic geometry is a branch of mathematics... 32 KB (4,237 words) - 17:05, 15 November 2023 |
classical algebraic geometry of varieties over algebraically closed fields. This chapter uses many classical results in commutative algebra, including... 3 KB (188 words) - 13:32, 25 January 2024 |
Absolute geometry Affine geometry Algebraic geometry Analytic geometry Birational geometry Complex geometry Combinatorial geometry Computational geometry Conformal... 13 KB (912 words) - 16:57, 1 March 2024 |