On the formal neighborhood of a degenerate arc
Publisher DOI
Abstract
We prove a result describing the structure of the formal neighborhoods of certain arcs in the arc space of an algebraic variety which are completely contained in the singular locus. In particular, we provide a precise formulation of the intuitive statement that constant arcs centered in the singular locus are the most singular points of the arc space.
Date Issued
2025-12-19
Publication Type
Article
Subject(s)
Subjects
Arc spaces
•
formal neighborhood
Language(s)
en
Additional Credits
Journal
Advanced Studies in Pure Mathematics
Publisher
Mathematical Society of Japan
ISSN
2433-8915
Related URL(s)
http://arxiv.org/abs/2310.15844v1
Access(Rights)
open.access