Curve selection lemma in arc spaces
Algebraic Geometry
2023-01-03 v1
Abstract
We first generalize a curve selection lemma for Noetherian schemes and apply it to prove a version of Curve Selection Lemma in arc spaces, answering affirmatively a question by Reguera. Furthermore, thanks to a structure theorem of Grinberg, Kazhdan and Drinfeld, we obtain other versions of Curve Selection Lemma in arc spaces.
Cite
@article{arxiv.2301.00128,
title = {Curve selection lemma in arc spaces},
author = {Nguyen Hong Duc},
journal= {arXiv preprint arXiv:2301.00128},
year = {2023}
}
Comments
7 pages