The Hilbert scheme of a pair of linear spaces is a Mori dream space · arXivDeskAbstract
Let Ha,bn denote the component of the Hilbert scheme whose general point parameterizes an a-plane union a b-plane meeting transversely in Pn
. We describe the effective and nef cones of
and determine when the component is Fano. Moreover, we show that
is a Mori dream space for all values of
.