Algebraic Geometry Seminar
Dawei Chen
UIC
The Hilbert scheme of a pair of codimension two linear subspaces
Abstract: We verify the smoothness of the Hilbert component $H_n$ whose general points parameterize a pair of codimension two linear subspaces in $P^n$.
For $n>2$, we show that $H_n$ intersects only one component in the full Hilbert scheme and they intersect transversely. We study the Mori theory of
$H_n$, including its Picard group, stable base locus decomposition of its effective cone and modular interpretations of the resulting models. This
is a joint work with I. Coskun and S. Nollet.
Thursday September 17, 2009 at 4:00 PM in SEO 636