posted on 2016-11-07, 09:35authored byOlivia Dumitrescu, Elisa Postinghel, Stefano Urbinati
We compute the facets of the effective cones of divisors on the blow-up of P3 in up to five lines in general position. We prove that up to six lines these threefolds are weak Fano and hence Mori Dream Spaces.
History
School
Science
Department
Mathematical Sciences
Published in
Rendiconti del Circolo Matematico di Palermo Series 2
Citation
DUMITRESCU, O., POSTINGHEL, E. and URBINATI, S., 2017. Cones of effective divisors on the blown-up P3 in general lines. Rendiconti del Circolo Matematico di Palermo Series 2, 66 (2), pp. 205–216.
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/
Acceptance date
2016-10-20
Publication date
2017
Notes
This is a post-peer-review, pre-copyedit version of an article published in Rendiconti del Circolo Matematico di Palermo Series 2. The final authenticated version is available online at: http://dx.doi.org/10.1007/s12215-016-0280-8