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arXiv · 1407.6344

Some non-finitely generated Cox rings

José Luis González·Kalle Karu
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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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José Luis González, Kalle Karu. 2014-07-23. Some non-finitely generated Cox rings. https://doi.org/10.1112/s0010437x15007745

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