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1. Algebraic geometry: Classical algebraic geometry is the study of geometric properties of the objects defined by algebraic equations. For example, a parabola, such as all solutions ( x , y ) {\displaystyle (x,y)} of the equation y − x 2 = 0 {\displaystyle y-x^{2 ... [100%] 2023-06-17
2. Algebraic geometry: The branch of mathematics dealing with geometric objects connected with commutative rings: algebraic varieties (cf. Algebraic variety) and their various generalizations (schemes, algebraic spaces, etc., cf. (Mathematics) [100%] 2023-09-08
3. Algebraic geometry: Algebraic geometry is a branch of mathematics which classically studies zeros of multivariate polynomials. Modern algebraic geometry is based on the use of abstract algebraic techniques, mainly from commutative algebra, for solving geometrical problems about these sets of zeros. (Branch of mathematics) [100%] 2023-09-06 [Algebraic geometry] [Fields of mathematics]...
4. Algebraic geometry: Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometrical problems. Classically, it studies zeros of multivariate polynomials; the modern approach generalizes this in a few different aspects. (Branch of mathematics) [100%] 2024-11-13 [Algebraic geometry]
5. Algebraic Geometry (book): Algebraic Geometry is an algebraic geometry textbook written by Robin Hartshorne and published by Springer-Verlag in 1977. It was the first extended treatment of scheme theory written as a text intended to be accessible to graduate students, and is ... (Book) [100%] 2025-06-29 [Graduate Texts in Mathematics] [1977 non-fiction books]...
6. Algebraic Geometry: Algebraic Geometry est un journal mathématique à évaluation par les pairs en libre accès de la Fondation Compositio Mathematica (comme la revue Compositio Mathematica). L'objectif de la revue est la publication d'articles en géométrie algébrique et dans les domaines ... [100%] 2025-07-06
7. Algebraic algebra: An algebra with associative powers (in particular, an associative algebra) over a field in which all elements are algebraic: an element $a$ of the algebra $A$ is called algebraic over the field $F$ if the subalgebra $F$ generated by $a ... (Mathematics) [95%] 2023-10-13
8. Numerical algebraic geometry: Numerical algebraic geometry is a field of computational mathematics, particularly computational algebraic geometry, which uses methods from numerical analysis to study and manipulate the solutions of systems of polynomial equations. The primary computational method used in numerical algebraic geometry is ... [81%] 2024-01-09 [Algebraic geometry] [Computational geometry]...
9. Real algebraic geometry: In mathematics, real algebraic geometry is the sub-branch of algebraic geometry studying real algebraic sets, i.e. real-number solutions to algebraic equations with real-number coefficients, and mappings between them (in particular real polynomial mappings). [81%] 2023-12-18 [Real algebraic geometry]
10. Noncommutative algebraic geometry: Noncommutative algebraic geometry is a branch of mathematics, and more specifically a direction in noncommutative geometry, that studies the geometric properties of formal duals of non-commutative algebraic objects such as rings as well as geometric objects derived from them ... [81%] 2023-09-06 [Algebraic geometry] [Noncommutative geometry]...
11. Differential algebraic geometry: Differential algebraic geometry is an area of differential algebra that adapts concepts and methods from algebraic geometry and applies them to systems of differential equations, especially algebraic differential equations. Another way of generalizing ideas from algebraic geometry is diffiety theory. [81%] 2023-12-04 [Differential algebra]
12. Numerical algebraic geometry: Numerical algebraic geometry is a field of computational mathematics, particularly computational algebraic geometry, which uses methods from numerical analysis to study and manipulate the solutions of systems of polynomial equations. The primary computational method used in numerical algebraic geometry is ... [81%] 2024-04-05 [Algebraic geometry] [Computational geometry]...
13. Abstract algebraic geometry: The branch of algebraic geometry dealing with the general properties of algebraic varieties (cf. Algebraic variety) over arbitrary fields and with schemes (cf. (Mathematics) [81%] 2024-07-24
14. Algebraic geometry code: Algebraic geometry codes, often abbreviated AG codes, are a type of linear code that generalize Reed–Solomon codes. The Russian mathematician V. (Mathematical linear code) [81%] 2026-04-19 [Coding theory] [Algebraic curves]...
15. Universal algebraic geometry: In algebraic geometry, universal algebraic geometry generalizes the geometry of rings to geometries of arbitrary varieties of algebras, so that every variety of algebras has its own algebraic geometry. The two terms algebraic variety and variety of algebras should not ... [81%] 2026-04-26 [Algebraic geometry] [Universal algebra]...
16. Lie algebra, algebraic: The Lie algebra of an algebraic subgroup (see Algebraic group) of the general linear group of all automorphisms of a finite-dimensional vector space $V$ over a field $k$. If $\mathfrak g$ is an arbitrary subalgebra of the Lie algebra ... (Mathematics) [77%] 2023-10-17
17. Algebraic geometry and analytic geometry: In mathematics, algebraic geometry and analytic geometry are two closely related subjects. While algebraic geometry studies algebraic varieties, analytic geometry deals with complex manifolds and the more general analytic spaces defined locally by the vanishing of analytic functions of several ... (Two closely related mathematical subjects) [74%] 2023-08-23 [Algebraic geometry] [Analytic geometry]...
18. Derived noncommutative algebraic geometry: In mathematics, derived noncommutative algebraic geometry, the derived version of noncommutative algebraic geometry, is the geometric study of derived categories and related constructions of triangulated categories using categorical tools. Some basic examples include the bounded derived category of coherent sheaves ... [70%] 2023-12-18 [Algebraic geometry] [Noncommutative geometry]...
19. Foundations of Algebraic Geometry: Foundations of Algebraic Geometry is a book by André Weil (1946, 1962) that develops algebraic geometry over fields of any characteristic. In particular it gives a careful treatment of intersection theory by defining the local intersection multiplicity of two subvarieties. (Organization) [70%] 2023-09-08 [Algebraic geometry] [Mathematics books]...
20. Glossary of algebraic geometry: This is a glossary of algebraic geometry. See also glossary of commutative algebra, glossary of classical algebraic geometry, and glossary of ring theory. (none) [70%] 2024-05-27 [Glossaries of mathematics] [Algebraic geometry]...