Weierstrass preparation theorem and singularities in the space of non-degenerate arcs

Abstract

We study the Weierstrass preparation and division theorems over arbitrary test rings and the local structure of singularities in the space of nondegenerate arcs on algebraic varieties. As an application, we prove a strengthened version of a theorem of Grinberg-Kazhdan and Drinfeld.

References in corpus (1)

• On the Grinberg - Kazhdan formal arc theorem

Cited by in corpus (1)

• Embedding codimension of the space of arcs