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arXiv · 2403.05942

On blowing up minimal toric surfaces

Antonio Laface·Luca Ugaglia
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Abstract

We prove that the Cox ring of the blowing-up of a minimal toric surface of Picard rank two is finitely generated. As part of our proof of this result we provide a necessary and sufficient condition for finite generation of Cox rings of normal projective $\mathbb Q$-factorial surfaces.

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Antonio Laface, Luca Ugaglia. 2024-03-09. On blowing up minimal toric surfaces. https://arxiv.org/abs/2403.05942

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