Category:Algebraic geometry
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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
[edit]Subcategories
This category has the following 13 subcategories, out of 23 total.
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- Intersection theory (13 P)
L
- Localization (mathematics) (9 P)
M
- Moduli theory (26 P)
N
- Noncommutative geometry (18 P)
- Nonlinear algebra (3 P)
R
- Real algebraic geometry (43 P)
S
T
- Tropical geometry (6 P)
Σ
- Algebraic geometry stubs (182 P)
Pages in category "Algebraic geometry"
The following 200 pages are in this category, out of approximately 421 total. This list may not reflect recent changes.
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F
- F-crystal
- Faithfully flat descent
- Fake projective space
- Family of curves
- Fano fibration
- Fano variety
- Field of definition
- Field with one element
- Finite algebra
- Finite morphism
- Flag bundle
- Flat function
- Flat module
- Flat topology
- Flip (mathematics)
- 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
- GKM variety
- Glossary of algebraic geometry
- Glossary of arithmetic and diophantine geometry
- Gopakumar–Vafa invariant
- Gordan's lemma
- Gorenstein scheme
- Grassmann bundle
- Grassmannian
- 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
- Group-stack
- 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
- Hyperplane section
- Hypersurface
- Hypertoric variety
I
K
L
M
- Macdonald polynomials
- Main theorem of elimination theory
- Matsusaka's big theorem
- Max Noether's theorem on curves
- Milnor number
- Minimal model program
- Mirror symmetry (string theory)
- Mirror symmetry conjecture
- Mixed Hodge module
- Mixed Hodge structure
- Moduli stack of elliptic curves
- Moduli stack of principal bundles
- Moduli stack of vector bundles
- Moishezon manifold
- Monsky–Washnitzer cohomology
- Mori dream space
- Morphism of algebraic stacks
- Morphism of finite type
- Morphism of schemes
- Motive (algebraic geometry)
- Motivic integration
- Motivic L-function
- Motivic zeta function
- Multi-homogeneous Bézout theorem
- Multiplicative distance
- Multiplier ideal
- Mutually unbiased bases
N
- Nagata ring
- Nakai conjecture
- Nakayama's lemma
- Nash blowing-up
- Néron model
- Néron–Severi group
- Néron–Tate height
- Newton polytope
- Newton–Okounkov body
- Nilcurve
- Nisnevich topology
- Noether normalization lemma
- Noetherian scheme
- Noetherian topological space
- Noncommutative algebraic geometry
- Nonlinear algebra
- Normal bundle
- Normal cone
- Normal crossing singularity
- Normal scheme
- Normally flat ring
- Numerical certification
P
- P-adic Teichmüller theory
- P-curvature
- Parshin's conjecture
- Pencil (geometry)
- Period (algebraic geometry)
- Picard–Lefschetz theory
- Piecewise algebraic space
- Plücker embedding
- Plücker matrix
- Positive form
- Prestack
- Primary decomposition
- Projective bundle
- Projective line over a ring
- Projective plane
- Projective variety