Cones of effective divisors on the blown-up P^3 in general lines
Algebraic Geometry
2016-04-21 v2
Abstract
We compute the facets of the effective cones of divisors on the blow-up of P^3 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.
Keywords
Cite
@article{arxiv.1512.09005,
title = {Cones of effective divisors on the blown-up P^3 in general lines},
author = {Olivia Dumitrescu and Elisa Postinghel and Stefano Urbinati},
journal= {arXiv preprint arXiv:1512.09005},
year = {2016}
}
Comments
Second version, accepted for publication to the special issue "Recent advances in Linear series and Newton-Okounkov bodies" of the "Rendiconti di Palermo" as proceedings of the workshop in Padua, February 2015