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On blowing up minimal toric surfaces (2403.05942v2)
Published 9 Mar 2024 in math.AG
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.