On the formal neighborhood of a degenerate arc
arXiv:2310.15844
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.
10 pages; comments are welcome