Chris Skalit : Positivity of Intersection Multiplicity Over a Two-Dimensional Base

Posted by Chris Skalit , part of the Algebraic Geometry Seminar.

At

Jan. 27, 2016, 4 p.m.

In

SEO 427

Abstract

Let $X$ be a smooth extension of a regular scheme $Y$. Given properly-meeting subschemes $V$ and $W$ of $X$, we show that the associated intersection multiplicities are positive whenever $\dim Y \leq 2$. When $Y$ is one-dimensional, we use these methods to investigate the extent to which the intersection multiplicity can detect transversality.