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In algebraic geometry, an equisingularity is, roughly, a family of singularities that are not non-equivalent and is an important notion in singularity theory. There is no universal definition of equisingularity but Zariki's equisingularity is the most famous one. Zariski's equisingualrity, introduced in 1971 under the name " algebro-geometric equisingularity", gives a stratification that is different from the usual Whitney stratification on a real or complex algebraic variety.

See also

• stratified space

References

1. O. Zariski, Some open questions in the theory of singularities, Bull. Amer. Math. Soc., 77 (1971), pp. 481–491.
2. Parusiński

Parusiński, Adam. "Algebro-geometric equisingularity of Zariski". arXiv:2010.08927 .

Further reading

• https://mathoverflow.net/questions/299314/a-general-definition-of-an-equisingular-family-of-singular-varieties

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