Completion of real fans and Zariski-riemann spaces

Günter Ewald, Masa Nori Ishida

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)189-218
Number of pages30
JournalTohoku Mathematical Journal
Issue number2
Publication statusPublished - 2006 Jun


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