Intersection multiplicities and Chow rings for non-singular varieties

Last week, the intersection product was defined using the theory of
cones. In the first past of this talk, we will show that under mild
conditions, we can compute intersection multiplicities,
certain coefficients in the intersection products, simply as the length
of a module. We also give a clear criterion for when this intersection
multiplicity is one. The second part of the talk, we show that in case
of a non-singular variety, the constructed intersection product will
yield a multiplication that makes the Chow group into a Chow ring. After
this construction and some properties that hold in the smooth case, we
compute this Chow ring in several examples. Finally, we can also
rephrase the perhaps familiar Bézout's theorem in this context.

https://bbb.mpim-bonn.mpg.de/b/rei-xh2-kg6 [3]
For password email to rkramer@mpim...