Multiplicity of jet schemes of monomial schemes

Abstract

This article studies jet schemes of monomial schemes. They are known to be equidimensional but usually are not reduced. We thus investigate their structure further, giving a formula for the multiplicity along every component of the jet schemes of a general reduced monomial hypersurface (that is, the case of a simple normal crossing divisor).

5 pages, this is part of the author's Ph.D. thesis at the University of Michigan