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Jet schemes of complex plane branches and equisingularity

Hussein Mourtada — 2011

Annales de l’institut Fourier

For m , 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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