Category:Singularity theory

• Singularity theory

A

• A-equivalence
• Acnode
• Ak singularity
• Arnold's spectral sequence

B

• Bott–Samelson resolution
• Brieskorn manifold
• Brieskorn–Grothendieck resolution

C

• Canonical singularity
• Catastrophe theory
• Cerf theory
• Conifold
• Contact (mathematics)
• Crepant resolution
• Critical point (mathematics)
• Cusp (singularity)

D

• Du Bois singularity
• Du Val singularity

E

• Eisenbud–Levine–Khimshiashvili signature formula
• Elliptic singularity

G

• Generic property

H

• Hessian matrix

J

• Jacobian ideal
• Jet (mathematics)

K

• K-equivalence

L

• Local uniformization

M

• Malgrange preparation theorem
• Milnor map
• Milnor number

N

• Nakai conjecture
• Nodal surface

P

• Pinch point (mathematics)
• Pseudoisotopy theorem

R

• Rational singularity
• Resolution of singularities
• Ridge detection

S

• Sard's theorem
• Signature defect
• Singular point of a curve
• Singular point of an algebraic variety
• The Singularity (film)
• Splitting lemma (functions)
• Springer resolution
• Stratified Morse theory
• The Swallow's Tail

T

• Tacnode
• Terminal singularity
• Thom–Mather stratified space
• Transhumanism

U

• Unfolding (functions)

W

• Whitney conditions
• Whitney topologies
• Whitney umbrella