Versal deformations of formal arcs

Details Versal deformations of formal arcs Versal deformations of formal arcs

1998-12-17

arxiv.org/abs/math/9812104v1

Mathematics

Algebraic Geometry

12 pages, AMS-LaTeX

Scientific paper

Let X be a complex algebraic variety, and L(X) be the scheme of formal arcs
in X. Let f be an arc whose image is not contained in the singularities of X.
We show that the formal neighborhood of f in L(X) admits a decomposition into a
product of an infinite-dimensional smooth piece, and a piece isomorphic to the
formal neighborhood of a closed point of a scheme of finite type.

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