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Jet schemes of complex plane branches and equisingularity

Hussein Mourtada (2011)

Annales de l’institut Fourier

For $m \in ℕ$ , we determine the irreducible components of the $m -$ th Jet Scheme of a complex branch $C$ and we give formulas for their number $N (m)$ and for their codimensions, in terms of $m$ and the generators of the semigroup of $C$ . This structure of the Jet Schemes determines and is determined by the topological type of $C$ .

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