Delta invariant

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In mathematics, in the theory of algebraic curves, a delta invariant measures the number of double points concentrated at a point.[1] It is a positive integer.[2]

A double point[3] occurs where a curve crosses itself.

The lemniscate of Gerono has a delta invariant of two at the origin — it has two double points at the origin.

Delta invariants are discussed in the "Classification of singularities" section of the algebraic curve article.

[edit] References

  1. ^ Milnor, _Singular Points of Hypersurfaces_, p. 85
  2. ^ http://sci4um.com/about29768.html or http://sci.tech-archive.net/Archive/sci.math/2006-05/msg03042.html
  3. ^ Double point - definition of Double point by the Free Online Dictionary, Thesaurus and Encyclopedia
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