Formal neighborhoods in arc spaces
Algebraic Geometry
2015-12-23 v1
Abstract
The theorem of Greenberg-Kazhdan-Drinfeld describes the formal neighborhood of a closed arc. After giving a complete proof with examples, two possible versions for the relative case of the theorem are discussed. Each one is shown to hold for some classes of morphisms, including smooth morphisms and closed embeddings in smooth variety.
Keywords
Cite
@article{arxiv.1512.07068,
title = {Formal neighborhoods in arc spaces},
author = {Peter Petrov},
journal= {arXiv preprint arXiv:1512.07068},
year = {2015}
}
Comments
17 pages, submitted to Journal of Algebra