报告简介： There are various notions of `Chern-class' for possibly singular
varieties and schemes, and the Chern-Fulton class is such a to the realm of
arbitrary embeddable schemes. While Chern-Fulton classes are sensitive to
non-reduced scheme structure, they are not sensitive to possible
singularities of the underlying support, thus at first glance are not
interesting from a singularity theory viewpoint.
However, we introduce a class of formal objects which we think of as
`fractional schemes', or f-schemes for short, and then show that when one
broadens the domain of Chern-Fulton classes to f-schemes one may indeed
recover singularity invariants of varieties and schemes.