Hence it is an isolated singularity, as well as being an essential singularity.
2.
Namely, the space of miniversal deformations of an isolated singularity has a Frobenius manifold structure.
3.
Unlike functions of a real variable, holomorphic functions are sufficiently rigid that their isolated singularities can be completely classified.
4.
An isolated singularity of " X " is called algebraically isolated if, when considered over the complex domain, it remains isolated.
5.
:We don't capitalise normal words in article titles so if anything it should be something like " Isolated singularity ( complex analysis ) ".
6.
In 1826 Cauchy gave a formal definition of a poles isolated singularities, i . e ., points where a function goes to positive or negative infinity.
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Other examples for stratifolds are one-point compactifications and suspensions of manifolds, ( real ) algebraic varieties with only isolated singularities and ( finite ) simplicial complexes.
8.
It's unclear to me whether you want to do that, or discuss another meaning of " Isolated singularity " in an existing article, or something else.
9.
His results on 0-cycles on algebraic varieties with isolated singularities effectively reduces their study to the corresponding study on the desingularization, together with information about multiples of the exceptional divisors.
10.
If we now perturb the image of " f " in a certain stable way the isolated degenerate singularity at 0 will split up into other isolated singularities which are non-degenerate!
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