Category:Algebraic geometry
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Here is a list of articles in the Algebraic geometry category of the Computing portal that unifies foundations of mathematics and computations using computers.
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 18 subcategories, out of 18 total.
- Theorems in algebraic geometry (100 P)
*
- Algebraic geometers (246 P)
A
B
C
- Cohomology theories (50 P)
I
- Intersection theory (13 P)
L
- Localization (mathematics) (12 P)
N
- Noncommutative geometry (18 P)
- Nonlinear algebra (3 P)
R
- Real algebraic geometry (43 P)
S
- Scheme theory (41 P)
Pages in category "Algebraic geometry"
The following 200 pages are in this category, out of 429 total.
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- Hartshorne ellipse
- Hasse–Weil zeta function
- Hessenberg variety
- Hilbert scheme
- Hilbert series and Hilbert polynomial
- Hilbert's arithmetic of ends
- Hilbert's fifteenth problem
- Hilbert–Samuel function
- 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)
- Pencil (mathematics)
- 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
- Ring of periods
- 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