Birational geometry of blowups via Weyl chamber decompositions and
actions on curves
Birational geometry of blowups via Weyl chamber decompositions and
actions on curves
In this paper we study the birational geometry of $X$, a projective space $\mathbb{P}^n$ blown up at $s$ general points. We obtain a characterization of a special class of subvarieties, which we call Weyl $r$-planes, each of them being swept out by one $(n-r)$-moving curve class. For Mori dream spaces …