Category:Algebraic geometry

• ► Theorems in algebraic geometry‎ (50 P)

*

• ► Algebraic geometers‎ (56 P)

A

• ► Algebraic curves‎ (5 C, 110 P)
• ► Algebraic varieties‎ (7 C, 44 P)
• ► Analytic geometry‎ (3 C, 53 P)

C

• ► Cohomology theories‎ (31 P)

D

• ► Diophantine geometry‎ (29 P)

I

• ► Intersection theory‎ (9 P)
• ► Invariant theory‎ (1 C, 36 P)

L

• ► Localization (mathematics)‎ (10 P)

M

• ► Moduli theory‎ (1 C, 21 P)

N

• ► Noncommutative geometry‎ (10 P)

R

• ► Real algebraic geometry‎ (34 P)

S

• ► Scheme theory‎ (1 C, 26 P)
• ► Singularity theory‎ (2 C, 46 P)
• ► Structures on manifolds‎ (4 C, 45 P)

T

• ► Topological methods of algebraic geometry‎ (1 C, 31 P)

• Algebraic geometry
• Algebraic geometry and analytic geometry
• Ground field
• List of algebraic geometry topics

*

• Rational point
• Residue field
• Unibranch local ring

3

• 3-fold

A

• Abhyankar's lemma
• Absolutely irreducible
• Abstract algebraic variety
• Adequate equivalence relation
• Adjunction formula (algebraic geometry)
• Affine Grassmannian
• Affine Grassmannian (manifold)
• Algebraic cobordism
• Algebraic cycle
• Algebraic geometry of projective spaces
• Algebraic K-theory
• Algebraic set
• Algebraic space
• Algebraic stack
• Algebraic variety
• Amoeba (mathematics)
• Ample line bundle
• Anabelian geometry
• Analytic space
• Analytic variety
• André–Oort conjecture
• Arakelov theory
• Arithmetic and geometric Frobenius
• Arithmetic group
• A¹ homotopy theory

B

• Baily–Borel compactification
• Barsotti–Tate group
• Base locus
• Bass conjecture
• Berkovich space
• Biholomorphism
• Biregular
• Buchberger's algorithm

C

• Calabi–Yau manifold
• Canonical ring
• Canonical singularity
• Castelnuovo–Mumford regularity
• Catenary ring
• Chow coordinates
• Chow ring
• Codimension
• Cohen–Macaulay ring
• Combinatorial commutative algebra
• Complete intersection
• Complex analytic space
• Complex dimension
• Cone of curves
• Conic bundle
• Conifold
• Constructible set (topology)
• Constructible sheaf
• Cotangent complex
• Cramer's paradox
• Crepant resolution
• Crystalline cohomology
• Cubic form

D

• Deformation theory
• Deligne conjecture
• Descent (category theory)

D cont.

• Dessin d'enfant
• Determinantal variety
• Dévissage
• Differential of the first kind
• Direction cosine
• Donaldson–Thomas theory
• Drinfel'd module
• Du Bois singularity
• Dwork family

E

• Elimination theory
• Enneper surface
• Enumerative geometry
• Equidimensional scheme
• Erdős–Diophantine graph
• Esquisse d'un Programme
• Étale topology
• Euler sequence
• Excellent ring
• Exceptional divisor

F

• Fake projective space
• Family of curves
• Fano fibration
• Fano variety
• Field with one element
• Finite morphism
• Flat function
• Flat module
• Flat topology
• Flip (mathematics)
• Fondements de la Géometrie Algébrique
• Formal scheme
• Formally smooth map
• Foundations of algebraic geometry
• Fourier–Deligne transform
• Frobenius splitting
• Fröberg conjecture
• Fujiki class C
• Fujita conjecture

G

• Galois geometry
• Gauss–Manin connection
• General elephant
• General position
• Generalized Jacobian
• Generalized Riemann hypothesis
• Generic flatness
• Generic point
• Generic property
• Glossary of arithmetic and Diophantine geometry
• Grassmannian
• Gröbner basis
• Gromov–Witten invariant
• Grothendieck connection
• Grothendieck's Galois theory
• Grothendieck–Katz p-curvature conjecture

H

• H topology
• Hasse–Weil zeta function
• Hessenberg variety
• Hilbert scheme
• Hilbert's arithmetic of ends
• Hilbert's fifteenth problem
• Hitchin system
• Hodge conjecture
• Hodge–Tate module
• Homogeneous polynomial
• Horrocks bundle
• Hyperkähler manifold
• Hyperplane section

H cont.

• Hypersurface

I

• Injective sheaf
• Inverse image functor
• Irreducible component
• Irrelevant ideal
• Italian school of algebraic geometry

J

• Jacobian conjecture

K

• Kähler differential
• Kähler manifold

L

• Last geometric statement of Jacobi
• List of topologies on the category of schemes
• LLT polynomial
• Local parameter
• Locally free sheaf
• Logarithmic form
• Logarithmic pair

M

• M-theory
• Macdonald polynomials
• Milnor number
• Minimal model program
• Monsky–Washnitzer cohomology
• Mori dream space
• Motive (algebraic geometry)
• Motivic integration
• Motivic L-function
• Motivic zeta function
• Multiplicative distance

N

• N! conjecture
• Nagata ring
• Nakai conjecture
• Nakayama lemma
• Nash blowing-up
• Néron model
• Néron–Tate height
• Néron–Severi group
• Nisnevich topology
• Noetherian topological space
• Noncommutative algebraic geometry
• Normal crossings

P

• Pencil (mathematics)
• Picard–Lefschetz theory
• Plücker embedding
• Plucker matrix
• Porteous formula
• Positive form
• Projective plane
• Pseudo algebraically closed field
• Pseudoholomorphic curve
• Purity (algebraic geometry)

Q

• Quantum cohomology
• Quasi-homogeneous polynomial

R

• Rational mapping
• Rational normal scroll
• Rees algebra
• Regular chain
• Regular local ring
• Regular map (algebraic geometry)
• Regular semi-algebraic system
• Reiss relation
• Relative canonical model
• Relative dimension
• Resolution of singularities
• Rigid cohomology
• Ring of periods
• Roitman's theorem
• Rosati involution