Category:Algebraic geometry
Wikimedia Commons has media related to Algebraic geometry.
This category is overpopulated. It is suggested that the contents of the category be subcategorized.
Algebraic geometry is the place where the algebra involved in solving systems of simultaneous multivariable polynomial equations meets the geometry of curves, surfaces, and higher dimensional algebraic varieties.
Related categories
Subcategories
This category has the following 24 subcategories, out of 24 total.
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Pages in category "Algebraic geometry"
The following 200 pages are in this category, out of 381 total.
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A
- A¹ homotopy theory
- Absolute irreducibility
- Abundance conjecture
- Adequate equivalence relation
- Adjunction formula
- Affine Grassmannian
- Affine Grassmannian (manifold)
- Algebraic cobordism
- Algebraic cycle
- Numerical algebraic geometry
- Algebraic Geometry (book)
- Algebraic geometry of projective spaces
- Algebraic K-theory
- Algebraic space
- Algebraic variety
- Alternating algebra
- Amoeba (mathematics)
- Ample line bundle
- An Invitation to Algebraic Geometry
- Analytic space
- Arakelov theory
- Arithmetic and geometric Frobenius
- Artin's criterion
- Associative algebra
B
- Baily–Borel compactification
- Bass conjecture
- Bass–Quillen conjecture
- Beilinson regulator
- Beilinson–Bernstein localization
- Berkovich space
- BGG correspondence
- Biholomorphism
- Bivariant theory
- Bloch's formula
- Bloch's higher Chow group
- Bott–Samelson resolution
- Bracket ring
- Bridgeland stability condition
- Buchberger's algorithm
- Bundle of principal parts
C
- Calabi–Yau manifold
- Canonical ring
- Canonical singularity
- Cartan subgroup
- Cartier isomorphism
- Castelnuovo–Mumford regularity
- Categorical quotient
- Catenary ring
- Cayleyan
- Chow group
- Closed point
- Codimension
- Cohen–Macaulay ring
- Coherent sheaf
- Coherent sheaf cohomology
- Cohomological descent
- Combinatorial commutative algebra
- Combinatorial mirror symmetry
- Comodule over a Hopf algebroid
- Complete intersection
- Complex analytic variety
- Complex dimension
- Complex geometry
- Condensed mathematics
- Cone (algebraic geometry)
- Cone of curves
- Conic bundle
- Conifold
- Constructible set (topology)
- Constructible sheaf
- Contraction morphism
- Convexity (algebraic geometry)
- Correspondence (algebraic geometry)
- Cotangent complex
- Cotangent sheaf
- Cox ring
- Cramer's paradox
- Crepant resolution
- Crystal (mathematics)
- Crystalline cohomology
- Cubic form
- Cyclic cover
D
- Deformation (mathematics)
- Degeneration (algebraic geometry)
- Deligne's completeness theorem
- Derived algebraic geometry
- Derived noncommutative algebraic geometry
- Derived scheme
- Derived tensor product
- Descent (mathematics)
- Descent along torsors
- Dessin d'enfant
- Dévissage
- Diagonal morphism (algebraic geometry)
- Differential graded algebra
- Differential of the first kind
- Dimension of a scheme
- Discrepancy (algebraic geometry)
- Distribution on a linear algebraic group
- Divisorial scheme
- Donaldson–Thomas theory
- Drinfeld module
- Du Bois singularity
- Dualizing sheaf
- Dwork family
E
F
- F-crystal
- Faithfully flat descent
- Family of curves
- Fano fibration
- Field of definition
- Field with one element
- Finite algebra
- Finite morphism
- Flag bundle
- Flat function
- Flat module
- Flat topology
- Flip (algebraic geometry)
- Fondements de la Géometrie Algébrique
- Formal holomorphic function
- Formal moduli
- Formal scheme
- Formally smooth map
- Foundations of Algebraic Geometry
- Fourier–Deligne transform
- Frankel conjecture
- Frobenioid
- Frobenius manifold
- Frobenius splitting
- Fröberg conjecture
- Fujiki class C
- Fujita conjecture
- Functor represented by a scheme
G
- Galois geometry
- Gauss–Manin connection
- General elephant
- General position
- Generalized Riemann hypothesis
- Generic flatness
- Generic point
- Generic property
- Geometric class field theory
- Geometric Langlands correspondence
- Geometric quotient
- Geometrically regular ring
- Gibbons–Hawking space
- GIT quotient
- Glossary of algebraic geometry
- Glossary of arithmetic and diophantine geometry
- Gopakumar–Vafa invariant
- Gordan's lemma
- Gorenstein scheme
- Grassmann bundle
- Griffiths group
- Gröbner basis
- Gröbner fan
- Gromov–Witten invariant
- Grothendieck connection
- Grothendieck–Katz p-curvature conjecture
- Grothendieck's Galois theory
- Group functor
- Group-scheme action
- Groupoid object
H
- H topology
- Harder–Narasimhan stratification
- Hartshorne ellipse
- Hasse–Weil zeta function
- Hessenberg variety
- Hilbert scheme
- Hilbert series and Hilbert polynomial
- Hilbert–Samuel function
- Hilbert's arithmetic of ends
- Hilbert's fifteenth problem
- Hironaka's example
- Hitchin system
- Hodge conjecture
- Hodge–Arakelov theory
- Hodge–Tate module
- Homogeneous polynomial
- Homotopy associative algebra
- Horrocks bundle
- Hurwitz scheme
- Hypersurface
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