Jet schemes of complex plane branches and equisingularity

Details Jet schemes of complex plane branches and equisingularity Jet schemes of complex plane branches and equisingularity

2010-09-29

arxiv.org/abs/1009.5845v1

Mathematics

Algebraic Geometry

22 pages

Scientific paper

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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