Category:Algebraic varieties

3

• 3-folds (15 P)

A

• Algebraic curves (3 C, 111 P)
• Algebraic groups (5 C, 68 P)
• Algebraic surfaces (1 C, 84 P)

B

• Birational geometry (1 C, 25 P)

G

• Geometry of divisors (16 P)

Q

• Quadrics (12 P)

• Algebraic variety

*

• Torus action

A

• Affine variety
• Algebraic geometry of projective spaces
• Algebraic manifold

B

• Branched covering

C

• Canonical bundle
• Characteristic variety
• Coble variety
• Complete variety
• Complex algebraic variety
• Complex projective space
• Conic bundle
• Cubic form
• Cubic fourfold
• Cubic threefold

D

• Degree of an algebraic variety
• Determinantal variety
• Diagonal form
• Dimension of an algebraic variety

E

• Exotic affine space

F

• Function field of an algebraic variety

G

• Geometric genus
• Gorenstein scheme

H

• Hermitian variety
• Homogeneous coordinate ring
• Homogeneous variety
• Horrocks–Mumford bundle

I

• Irreducible component
• Irreducible variety

J

• Jouanolou's trick

K

• Krivine–Stengle Positivstellensatz

L

• Line complex
• Local zeta function
• Local zeta-function
• Lüroth's theorem

M

• Maltsev variety
• Moduli of algebraic curves
• Mordellic variety
• Morphism of algebraic varieties

N

• Noether normalization lemma
• Norm variety

P

• Positivstellensatz
• Projective variety
• Pseudo-canonical variety

Q

• Quasi-projective variety
• Quintic threefold

R

• Rational function
• Rational variety
• Reducible variety
• Ruled variety

S

• Scorza variety
• Secant variety
• Segre embedding
• Seshadri constant
• Severi–Brauer variety
• Siegel modular variety
• Singular point of an algebraic variety
• Stengle's Positivstellensatz
• Supersingular variety

T

• Theorem of the cube
• Toric variety
• Transcendence degree
• Transcendental extension

U

• Unirationality

V

• Veronese surface

W

• Weil restriction

Z

• Zariski topology