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Mori Dream Spaces and blow-ups of weighted projective spaces

2019; Elsevier BV; Volume: 223; Issue: 10 Linguagem: Inglês

10.1016/j.jpaa.2019.01.014

1873-1376

Zhuang He,

Finite Group Theory Research

For every n≥3, we find a sufficient condition for the blow-up of a weighted projective space P(a,b,c,d1,⋯,dn−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≥3.