New Examples and Non-examples of Mori Dream Spaces when Blowing up Toric Surfaces
Algebraic Geometry
2017-06-20 v2
Abstract
We study the question of whether the blow-ups of toric surfaces of Picard number one at the identity point of the torus are Mori Dream Spaces. For some of these toric surfaces, the question whether the blow-up is a Mori Dream Space is equivalent to countably many planar interpolation problems. We state a conjecture which generalizes a theorem of Gonzalez and Karu. We give new examples and non-examples of Mori Dream Spaces among these blow-ups.
Cite
@article{arxiv.1703.00819,
title = {New Examples and Non-examples of Mori Dream Spaces when Blowing up Toric Surfaces},
author = {Zhuang He},
journal= {arXiv preprint arXiv:1703.00819},
year = {2017}
}
Comments
41 pages. 7 figures. The earlier proof of Proposition 5.1 was incomplete. The proof is now complete