Isomorphisms of jet schemes
Algebraic Geometry
2009-08-11 v1
Abstract
If two schemes are isomorphic, then their -jet schemes are isomorphic for all . In this paper we consider the converse problem. We prove that if an isomorphism of the -jet schemes is induced from a morphism of the base schemes, then the morphism of the base schemes is an isomorphism. But we also prove that just the existence of isomorphisms between -jet schemes does not yield the existence of an isomorphism between the base schemes.
Cite
@article{arxiv.0908.1146,
title = {Isomorphisms of jet schemes},
author = {Shihoko Ishii and Joerg Winkelmann},
journal= {arXiv preprint arXiv:0908.1146},
year = {2009}
}
Comments
6 pages, to appear in Canadian Comptes Rendus