Abstract
Toric Fano varieties are algebraic varieties associated with a special class of convex polytopes inR′'. We extend results of V. E. Voskresenskij and A. A. Klyachko about the classification of such varieties using a purely combinatorial method of proof.
Article PDF
Similar content being viewed by others
References
V. Danilov, the geometry of toric varieties,Uspekhi Mat. Nauk 33 (1978), 85–134.Russian Math. Surveys 33 (1978), 97–154.
G. Ewald, Spherical complexes and nonprojective toric varieties,Discrete Comput. Geom. 1 (1986), 115–122.
T. Oda,Torus Embeddings and Applications, Tata Institute, Bombay, 1978.
V. E. Voskresenskij and A. A. Klyachko, Toronidal Fano varieties and root systems.Izv. Nauk 48 (1984),Math. USSR-Izv. 24 (1985), 221–244.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ewald, G. On the classification of toric fano varieties. Discrete Comput Geom 3, 49–54 (1988). https://doi.org/10.1007/BF02187895
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02187895