Dawei Chen : The Hilbert scheme of a pair of codimension two linear subspaces

Posted by , part of the Algebraic Geometry Seminar.

At

Sept. 17, 2009, 4 p.m.

In

SEO 636

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.