Gorenstein toric Fano varieties

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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.
AMS-LaTeX, 29 pages with 5 figures

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Algebraic Geometry, Combinatorics, 14J45; 14M25; 52B20

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http://salesiana.dossiersoluciones.com/handle/123456789/71294

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0405448
 http://arxiv.org/abs/math/0405448
 Manuscripta Math. 116 (2005), 183-210
 doi:10.1007/s00229-004-0532-3

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arXiv