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