Smoothable del Pezzo surfaces with quotient singularities

Smoothable del Pezzo surfaces with quotient singularities
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DOI:
10.1112/s0010437x09004370
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发表时间:
2010-01-01
影响因子:
1.8
通讯作者:
Prokhorov, Yuri
Prokhorov, Yuri
中科院分区:
数学1区
文献类型:
--
作者:
Hacking, Paul;Prokhorov, Yuri

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我们分类del Pezzo表面的商奇点和皮卡德秩1承认Q-Gorenstein光滑。这些表面出现的奇异纤维的德尔佩佐纤维在3倍的最小模型程序,也在模量问题。
We classify del Pezzo surfaces with quotient singularities and Picard rank one which admit a Q-Gorenstein smoothing. These surfaces arise as singular fibres of del Pezzo fibrations in the 3-fold minimal model program and also in moduli problems.