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arXiv · 1803.11536

Mori Dream Spaces and blow-ups of weighted projective spaces

Zhuang He
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Abstract

For every $n\geq 3$, we find a sufficient condition for the blow-up of a weighted projective space $\mathbb{P}(a,b,c,d_1,\cdots,d_{n-2})$ at the identity point not to be a Mori Dream Space. We exhibit several infinite sequences of weights satisfying this condition in all dimensions $n\geq 3$.

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Zhuang He. 2018-03-30. Mori Dream Spaces and blow-ups of weighted projective spaces. https://doi.org/10.1016/j.jpaa.2019.01.014

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