Singularities of log varieties via jet schemes

2012/01/31 by Karu, Kalle, Staal, Andrew
#14B05 #14E18 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1201.6646

Abstract

We study logarithmic jet schemes of a log scheme and generalize a theorem of M. Mustata from the case of ordinary jet schemes to the logarithmic case. If X is a normal local complete intersection log variety, then X has canonical singularities if and only if the log jet schemes of X are irreducible.

Related

• Jet schemes and singularities
• Singularities of Pairs via Jet Schemes
• Logarithmic Jet Spaces and Intersection Multiplicities
• Log canonical thresholds in positive characteristic
• Quasi-log varieties