Excess and residual intersections

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

In general, the intersection of subschemes need not be connected. I will give formulas for the equivalence of one connected component in the related intersection product. Furthermore, I will consider the case where the intersection of two subschemes contains a Cartier divisor of one of the subschemes, in which case it is also possible to define a complement, called the residual intersection class. I will give examples of applying both of these techniques.