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Cones of effective divisors on the blown-up P3 in general lines

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journal contribution
posted on 2016-11-07, 09:35 authored by Olivia 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.

Publisher

© Springer

Version

  • AM (Accepted Manuscript)

Publisher statement

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

ISSN

0009-725X

eISSN

1973-4409

Language

  • en

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