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 23 subcategories, out of 23 total.
- Theorems in algebraic geometry (98 P)
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A
B
C
- Cohomology theories (50 P)
I
- 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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- 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
- Pseudo algebraically closed field
- Pseudoholomorphic curve
- Purity (algebraic geometry)
- Pursuing Stacks
Q
R
- Rational mapping
- Rational normal scroll
- Rees algebra
- Regular chain
- Regular local ring
- Regular scheme
- Regular semi-algebraic system
- Relative canonical model
- Relative cycle
- Relative dimension
- Relative effective Cartier divisor
- Resolution of singularities
- Riemann–Roch-type theorem
- Rosati involution
- Ruled join
- Ruled variety
S
- Scheme-theoretic intersection
- Schubert calculus
- Schubert variety
- Scorza variety
- Secant variety
- Section conjecture
- Semi-simplicity
- Semiorthogonal decomposition
- Semistable reduction theorem
- Severi variety (Hilbert scheme)
- Sheaf on an algebraic stack
- Shimura variety
- Shriek map
- SIC-POVM
- Siegel modular variety
- Smooth completion
- Smooth topology
- Spectral space
- Spherical variety
- Stability (algebraic geometry)
- Stable principal bundle
- Stable vector bundle
- Stack (mathematics)
- Standard conjectures on algebraic cycles
- Standard monomial theory
- Stein factorization
- Steiner's conic problem
- Steinerian
- Suita conjecture
- Sum of residues formula
- Supersingular variety
- Suslin homology
- Symmetric variety
- Syntomic topology
- System of polynomial equations