Algebraic Geometry Seminar
Chris Skalit
UIC
Positivity of Intersection Multiplicity Over a Two-Dimensional Base
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.
Wednesday January 27, 2016 at 4:00 PM in SEO 427