# Seminar of Algebra

### Embedding codimension in the space of arcs

Speaker:
Christopher Chiu (University of Vienna)
Email:
christopher.heng.chiu@univie.ac.at
Location:
Departamento de Álgebra
Date:
Tue, 17 sep 2019 12:00
Bio:

In this talk we investigate finiteness properties of the space of arcs of an algebraic variety. We introduce the embedding codimension as formal-local invariant of the singularities of an arbitrary scheme. We then prove a characterization of nondegenerate arcs in terms of the finiteness of their embedding codimension. In particular, this gives a strong converse to the Grinberg-Kazhdan-Drinfeld theorem.