Embedding codimension of the space of arcs

We introduce a notion of embedding codimension of an arbitrary local ring, establish some general properties and study in detail the case of arc spaces of schemes of finite type over a field. Viewing the embedding codimension as a measure of singularities, our main result can be interpreted as sayin...

Full description

Bibliographic Details
Main Authors: Christopher Chiu, Tommaso de Fernex, Roi Docampo
Format: Article
Language:English
Published: Cambridge University Press 2022-01-01
Series:Forum of Mathematics, Pi
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050508621000196/type/journal_article