Gorenstein toric Fano varieties

Details Gorenstein toric Fano varieties Gorenstein toric Fano varieties

2004-05-24

arxiv.org/abs/math/0405448v1

Manuscripta Math. 116 (2005), 183-210

Mathematics

Algebraic Geometry

AMS-LaTeX, 29 pages with 5 figures

Scientific paper

10.1007/s00229-004-0532-3

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.

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