Mori Dream Spaces and blow-ups of weighted projective spaces

Mori Dream Spaces and blow-ups of weighted projective spaces
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DOI:
10.1016/j.jpaa.2019.01.014
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发表时间:
2018-03
影响因子:
0.8
通讯作者:
Zhuang He
Zhuang He
中科院分区:
数学2区
文献类型:
--
作者:
Zhuang He

文献摘要

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对于任意n≥ 3,我们找到了加权射影空间P(a,B,c,d 1,n,d n− 2)在单位点爆破不是Mori梦空间的充分条件。我们展示了几个无限序列的重量满足这个条件的所有维度n≥ 3。
For every n≥ 3, we find a sufficient condition for the blow-up of a weighted projective space P (a, b, c, d 1,⋯, 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≥ 3.