English

Curve selection lemma in infinite dimensional algebraic geometry and arc spaces

Algebraic Geometry 2015-01-14 v3

Abstract

We prove a Curve Selection Lemma valid in infinite-dimensional algebraic geometry and apply it, together with a structure theorem of Grinberg-Kahzdan and Drinfeld, to obtain a Curve Selection Lemma in arc spaces.

Keywords

Cite

@article{arxiv.1201.6310,
  title  = {Curve selection lemma in infinite dimensional algebraic geometry and arc spaces},
  author = {Javier Fernandez de Bobadilla and Maria Pe Pereira},
  journal= {arXiv preprint arXiv:1201.6310},
  year   = {2015}
}

Comments

This paper has been withdrawn by the authors due to a gap in the proof of the main result

R2 v1 2026-06-21T20:12:01.189Z