Author:
González José Luis,Karu Kalle
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$\overline{M}_{0,n}$of stable$n$-pointed genus-zero curves does not have a finitely generated Cox ring if$n$is at least$13$.
Subject
Algebra and Number Theory
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