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Gorenstein toric Fano varieties | | Benjamin Nill
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24 May 2004 | | Journal: | Manuscripta Math. 116 (2005), 183-210 DOI: 10.1007/s00229-004-0532-3 | | Subject: | Algebraic Geometry; Combinatorics MSC-class: 14J45; 14M25; 52B20 | math.AG math.CO | | Abstract: | We investigate Gorenstein toric Fano varieties by combinatorial methods using the notion of a reflexive polytope which appeared in connection to mirror symmetry. The paper contains generalisations of tools and previously known results for nonsingular toric Fano varieties. As applications we obtain new classification results, bounds of invariants and formulate conjectures concerning combinatorial and geometrical properties of reflexive polytopes. | | Source: | arXiv, math.AG/0405448 | | Services: | Forum | Review | PDF | Favorites | |
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