Curve selection lemma in infinite dimensional algebraic geometry and arc spaces

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.

This paper has been withdrawn by the authors due to a gap in the proof of the main result

References in corpus (3)

• On the Grinberg - Kazhdan formal arc theorem
• Exceptional divisors which are not uniruled belong to the image of the Nash map
• Nash problem for surface singularities is a topological problem

Cited by in corpus (1)

• Terminal valuations and the Nash problem