01007nas a2200157 4500008004100000245005500041210005400096260007200150520047800222100002400700700002400724700002300748700002300771700001900794856003600813 2011 en d00aCones of divisors of blow-ups of projective spaces0 aCones of divisors of blowups of projective spaces bUniversita\\\' di Catania, Dipartimento di Matematica e Informatica3 aWe investigate Mori dream spaces obtained by blowing-up the n-dimensional complex projective space at n + 1, n + 2 or n + 3 points in very general position. Using toric techniques we study the movable cone of the blow-up of Pn at n + 1 points, its decomposition into nef chambers and the action of the Weyl group on the set of chambers. Moreover, using different methods, we explicitly write down the equations of the movable\\r\\ncone also for Pn blown-up at n + 2 points.1 aLo Giudice, Alessio1 aCacciola, Salvatore1 aDonten-Bury, Maria1 aDumitrescu, Olivia1 aPark, Jinhyung uhttp://hdl.handle.net/1963/5787