# Intersection multiplicity over a two-dimensional base

Tuesday, March 8, 2016 -

4:30pm to 5:30pm

Let X be smooth over a regular, two-dimensional base scheme Y. We show that properly-meeting cycles on X intersect with positive multiplicity (in the sense of Serre's Tor-formula). When Y is one-dimensional - say, the ring of integers of a number field - we use these techniques to investigate the extent to which intersection multiplicities can detect transversality.

Speaker:

Chris Skalit

University of Illinois at Chicago

Event Location:

Fine Hall 322