Gorenstein toric Fano varieties
Algebraic Geometry
2007-05-23 v1 Combinatorics
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.
Keywords
Cite
@article{arxiv.math/0405448,
title = {Gorenstein toric Fano varieties},
author = {Benjamin Nill},
journal= {arXiv preprint arXiv:math/0405448},
year = {2007}
}
Comments
AMS-LaTeX, 29 pages with 5 figures