arXiv:math/0405448 Abstract

arXiv:math/0405448 [math.AG]Abstract References Reviews Resources

Gorenstein toric Fano varieties

Published 2004-05-24Version 1

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.

Comments: AMS-LaTeX, 29 pages with 5 figures

Journal: Manuscripta Math. 116 (2005), 183-210

DOI: 10.1007/s00229-004-0532-3

Categories: math.AG, math.CO

Subjects: 14J45, 14M25, 52B20

Keywords: gorenstein toric fano varieties, nonsingular toric fano varieties, paper contains generalisations, reflexive polytope, formulate conjectures concerning combinatorial

Tags: journal article

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