Versal deformations of formal arcs
Algebraic Geometry
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/9812104,
title = {Versal deformations of formal arcs},
author = {Mikhail Grinberg and David Kazhdan},
journal= {arXiv preprint arXiv:math/9812104},
year = {2007}
}
Comments
12 pages, AMS-LaTeX