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arXiv · 1009.5845

Jet schemes of complex plane branches and equisingularity

Hussein Mourtada
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Abstract

For $m \in \mathbb{N}$, we determine the irreducible components of the $m$-th Jet Scheme of a complex branch $C$ and 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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Hussein Mourtada. 2010-09-29. Jet schemes of complex plane branches and equisingularity. https://arxiv.org/abs/1009.5845

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