Irreducibility for log arc schemes

Abstract

We characterise when the log arc scheme of a fine log scheme $(X,M)$, with $X$ a variety over a field of characteristic zero, is irreducible. This generalises the theorem of Kolchin that the (ordinary) arc scheme of $X$ is irreducible exactly when $X$ is irreducible.

arXiv comment24 pages

References in corpus (1)

• Logarithmic Jet Spaces and Intersection Multiplicities