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An inductive approach to classifying toric Fano varieties is given.
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by same author, Toric Fano varieties and convex polytopes , PhD thesis, University of Bath (2006), available from http://hdl.handle.net/10247/458
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by same author, Classification of pseudo-symmetric simplicial reflexive polytopes , Algebraic and geometric combinatorics, Contemp. Math., vol. 423, Amer. Math. Soc., Providence, RI, 2006, pp. 269–282
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Maximilian Kreuzer and Benjamin Nill, Classification of toric Fano 5 5 -folds , to appear in Adv. Geom. 9
2009
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