Completion of real fans and Zariski-Riemann spaces
Completion of real fans and Zariski-Riemann spaces
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DOI：
10.2748/tmj/1156256400
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发表时间：
2006-06
影响因子：
0.5
通讯作者：
G. Ewald;Masanori Ishida
中科院分区：
文献类型：
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作者：
G. Ewald;Masanori Ishida
。给定由实凸多面体锥体组成的实空间中的一个实扇，我们用两种完全不同的方法构造了一个包含该扇的完全实扇。fi第一个是纯组合的，一个相关版本的证明已由埃瓦尔德在早些时候勾画出来。第二种是基于Nagata将抽象的变体嵌入到完整的变体中的方法。对于第二种方法，我们引入了扇形的Zariski-Riemann空间的理论。
. Given a real fan in a real space consisting of real convex polyhedral cones, we construct a complete real fan which contains the fan, by two completely different methods. The first one is purely combinatorial and a proof of a related version was sketched earlier by Ewald. The second one is based on Nagata’s method of imbedding an abstract variety into a complete variety. For the second method, we introduce the theory of Zariski-Riemann space of a fan.