Completion of real fans and Zariski-Riemann spaces
Ewald, Günter ; Ishida, Masa-Nori
Tohoku Math. J. (2), Tome 58 (2006) no. 1, p. 189-218 / Harvested from Project Euclid
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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
Publié le : 2006-06-14
Classification:  14M25,  52B20 
@article{1156256400,
     author = {Ewald, G\"unter and Ishida, Masa-Nori},
     title = {Completion of real fans and Zariski-Riemann spaces},
     journal = {Tohoku Math. J. (2)},
     volume = {58},
     number = {1},
     year = {2006},
     pages = { 189-218},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1156256400}
}

Ewald, Günter; Ishida, Masa-Nori. Completion of real fans and Zariski-Riemann spaces. Tohoku Math. J. (2), Tome 58 (2006) no. 1, pp.  189-218. http://gdmltest.u-ga.fr/item/1156256400/