Cones of divisors of blow-ups of projective spaces

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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 the Weyl 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.
Publisher
Dipartimento di Matematica e Informatica
Issue Date
2011-12
Language
English
Citation

LE MATEMATICHE, v.66, no.2, pp.153 - 187

ISSN
0373-3505
DOI
10.4418/2011.66.2.13
URI
http://hdl.handle.net/10203/295176
Appears in Collection
MA-Journal Papers(저널논문)
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