Weak Fano threefolds with del Pezzo fibration
Weak Fano threefolds with del Pezzo fibration
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DOI：
10.1007/s40879-022-00571-3
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发表时间：
2009-10
影响因子：
0.6
通讯作者：
Kiyohiko Takeuchi
中科院分区：
文献类型：
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作者：
Kiyohiko Takeuchi
本文处理具有 D 型极值射线的光滑弱 Fano 三重 V。我们进一步假设 V 的多反规范态射仅收缩有限数量的曲线，即 Vis 终端的反规范模型。对应于 Dis a del Pezzo 类型的极值射线的收缩态射 Degreedforor 的纤维化。具有Dof度类型极值射线的光滑弱Fano三重被分为47种变形类型。
This article treats smooth weak Fano threefoldsVhaving an extremal ray of typeD. We further assume that the pluri-anti-canonical morphism ofVcontracts only a finite number of curves, i.e., the anti-canonical model ofVis terminal. The contraction morphism corresponding to the extremal ray of typeDis a del Pezzo fibration of degreedforor. Smooth weak Fano threefolds with an extremal ray of typeDof degreeare classified into 47 deformation types.