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arXiv · 1703.00819

New Examples and Non-examples of Mori Dream Spaces when Blowing up Toric Surfaces

Zhuang He
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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.

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BibTeXRIS

Zhuang He. 2017-06-19. New Examples and Non-examples of Mori Dream Spaces when Blowing up Toric Surfaces. https://arxiv.org/abs/1703.00819

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