2000 character limit reached
Examples of non-finitely generated Cox rings (1708.09064v1)
Published 30 Aug 2017 in math.AG and math.AC
Abstract: We bring examples of toric varieties blown up at a point in the torus that do not have finitely generated Cox rings. These examples are generalizations of previous work where toric surfaces of Picard number 1 were studied. In this article we consider toric varieties of higher Picard number and higher dimension. In particular, we bring examples of weighted projective 3-spaces blown up at a point that do not have finitely generated Cox rings.