Cones of divisors of blow-ups of projective spaces

Title	Cones of divisors of blow-ups of projective spaces
Publication Type	Journal Article
Year of Publication	2011
Authors	Lo Giudice, A, Cacciola, S, Donten-Bury, M, Dumitrescu, O, Park, J
Journal	Le Matematiche (Catania), volume 66, Issue no.2, (2011), pages : 153-187
Keywords	Mori dream space
Abstract	We 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 theWeyl group on the set of chambers. Moreover, using different methods, we explicitly write down the equations of the movable cone also for Pn blown-up at n+2 points.
URL	http://hdl.handle.net/1963/6613
DOI	10.4418/2011.66.2.13

Research Group:

Mathematics