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Some non-finitely generated Cox rings

Published 23 Jul 2014 in math.AG and math.AC | (1407.6344v1)

Abstract: We give a large family of weighted projective planes, blown up at a smooth point, that do not have finitely generated Cox rings. We then use the method of Castravet and Tevelev to prove that the moduli space of stable n-pointed genus zero curves does not have a finitely generated Cox ring if n is at least 13.

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