Algebraic geometry
ScienceWISE definitions
Incoming relations
Outgoing relations
- Algebraic geometry is a part of Algebraic geometry and analytic geometry
- Algebraic geometry is important in String theory
Subcategories
Concepts
- 3-fold
- A¹ homotopy theory
- Abel's curve theorem
- Abhyankar-Moh theorem
- Abhyankar's lemma
- Abstract algebraic variety
- Abstract variety
- Addition theorem
- Adequate equivalence relation
- Adjunction formula
- AF+BG theorem
- Alexander-Spanier cohomology
- Algebraic cycle
- Algebraic geometry of projective spaces
- Algebraic K-theory
- Algebraic manifold
- Algebraic set
- Algebraic space
- Algebraic variety
- Anabelian geometry
- Analytic geometry
- Analytic space
- Andreotti-Frankel theorem
- Arakelov theory
- Arithmetic and geometric Frobenius
- Arithmetic genus
- Arithmetic group
- Atiyah-Singer index theorem
- Automorphism
- Baily-Borel compactification
- Barsotti-Tate group
- Base locus
- Bézout's theorem
- Biholomorphism
- Biregular
- Borel fixed-point theorem
- Branched covering
- Brown-Peterson cohomology
- Buchberger's algorithm
- Canonical ring
- Canonical singularity
- Castelnuovo-Mumford regularity
- Catenary ring
- Čech cohomology
- Chow coordinates
- Chow ring
- Coble variety
- Codimension
- Cohen-Macaulay ring
- Coherent duality
- Coherent sheaf
- Cohomology with compact support
- Combinatorial commutative algebra
- Complete algebraic variety
- Complete intersection
- Complex analytic space
- Complex dimension
- Complex projective space
- Cone of curves
- Conic bundle
- Constructible set
- Constructible sheaf
- Crepant resolution
- Cubic form
- Cubic threefold
- Degree of an algebraic variety
- Deligne conjecture
- De Rham cohomology
- Determinantal variety
- Dévissage
- Differential form
- Differential of the first kind
- Dolbeault cohomology
- Drinfel'd module
- Du Bois singularity
- Dwork family
- Elimination theory
- Elliptic cohomology
- Enneper surface
- Epimorphism
- Equidimensional scheme
- Erdős-Diophantine graph
- Esquisse d'un Programme
- Essentially finite vector bundle
- Étale fundamental group
- Étale topology
- Euler sequence
- Excellent ring
- Exceptional divisor
- Fake projective space
- Fano fibration
- Fano variety
- Finite morphism
- Flat function
- Flat topology
- Formally smooth map
- Formal scheme
- Fourier-Deligne transform
- Fujiki class C
- Fujita conjecture
- Function field of an algebraic variety
- Fundamental group scheme
- Galois geometry
- Generalized Jacobian
- General position
- Generic flatness
- Generic point
- Genus of a multiplicative sequence
- Geometric genus
- Grauert-Riemenschneider vanishing theorem
- Gröbner basis
- Gronau London
- Grothendieck-Hirzebruch-Riemann-Roch theorem
- Grothendieck's connectedness theorem
- Ground field
- Hermitian variety
- Hessenberg variety
- Hilbert's arithmetic of ends
- Hilbert's fifteenth problem
- Hilbert's Nullstellensatz
- Hirzebruch-Riemann-Roch theorem
- Hitchin system
- Homogeneous coordinate ring
- Homogeneous polynomial
- Homomorphism
- Homotopical algebra
- Hopf fibration
- H topology
- Hyperplane section
- Intersection homology
- Inverse image functor
- Irreducible component
- Irreducible variety
- Irrelevant ideal
- Jacobian conjecture
- Kähler differential
- Kawamata-Viehweg vanishing theorem
- Kodaira embedding theorem
- Kodaira vanishing theorem
- Lefschetz hyperplane theorem
- Lefschetz theorem on
- Lie group homomorphism
- Line complex
- Locally free sheaf
- Logarithmic pair
- Max Noether's theorem
- Milnor number
- Mnev's universality theorem
- Monomorphism
- Morava K-theory
- Mori dream space
- Motivic cohomology
- Motivic L-function
- Motivic zeta function
- Multiplicative distance
- Mumford vanishing theorem
- Nagata ring
- Nakai conjecture
- Nakayama lemma
- Nash blowing-up
- Nef line bundle
- Néron-Severi group
- Nisnevich topology
- Noetherian topological space
- Noether normalization lemma
- Noncommutative algebraic geometry
- Normal crossings
- Normal morphism
- Norm variety
- Order isomorphism
- Plucker matrix
- Pseudo algebraically closed field
- Quasi-homogeneous polynomial
- Quasiprojective variety
- Quintic threefold
- Ramanujam vanishing theorem
- Rational function
- Rational mapping
- Rational variety
- Reducible variety
- Rees algebra
- Regular chain
- Regular function
- Regular semi-algebraic system
- Relative canonical model
- Relative dimension
- Residue field
- Resolution of singularities
- Riemann-Roch theorem for algebraic curves
- Ring of periods
- Ruled variety
- Schubert calculus
- Secant variety
- Segre embedding
- Serre duality
- Sheaf spanned by global sections
- Shriek map
- Singular point of an algebraic variety
- Spacelike links
- Spencer cohomology
- Stable vector bundle
- Steenrod homology
- Stengle's Positivstellensatz
- Syntomic topology
- Tangent cone
- Tate conjecture
- Terminal singularity
- Theorem of the cube
- Topological modular forms
- Toric variety
- Transcendence degree
- Triangular decomposition
- Trivial cylinder
- Tropical geometry
- Tsen's theorem
- Unibranch local ring
- Universal algebraic geometry
- Valuative criterion
- Vanishing cycle
- Vanishing theorem
- Weil cohomology theory
- Weil restriction
- Wu's method of characteristic set
- Zariski-Riemann space
- Zariski's main theorem
- Zariski space
- Zariski surface
- Zariski tangent space
- Zariski topology
- Zero morphism
Categorization
Mathematics (under construction)Synonyms
| © 2009-2013 ScienceWISE project | About | FAQ | Contact us | Report Bug | Acknowledgement |  |