# Toric Fano varieties and convex polytopes

@inproceedings{Kasprzyk2006ToricFV, title={Toric Fano varieties and convex polytopes}, author={Alexander M. Kasprzyk}, year={2006} }

In this thesis we study toric Fano varieties. Toric varieties are a particular class of algebraic variety which can be described in terms of combinatorial data. Toric Fano varieties correspond to certain convex lattice polytopes whose boundary lattice points are dictated by the singularities involved. Terminal toric Fano varieties correspond to convex lattice polytopes which contain only the origin as an internal lattice point, and whose boundary lattice points are precisely the vertices of the…

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