Generically finite morphisms and formal neighborhoods of arcs
Algebraic Geometry
2008-09-12 v3 Commutative Algebra
Abstract
We show that given a dominant morphism between two smooth varieties of the same dimension, the induced morphism between the formal neighborhoods of two arcs on these varieties is a closed embedding, of codimension given by the order of vanishing along the ramification subscheme.
Keywords
Cite
@article{arxiv.0708.3880,
title = {Generically finite morphisms and formal neighborhoods of arcs},
author = {Lawrence Ein and Mircea Mustata},
journal= {arXiv preprint arXiv:0708.3880},
year = {2008}
}
Comments
6 pages; final version, to appear in the Proceedings of the IV Iberoamerican Conference on Complex Geometry