Classification of Reflexive Polyhedra in Three Dimensions

Details Classification of Reflexive Polyhedra in Three Dimensions Classification of Reflexive Polyhedra in Three Dimensions

1998-05-27

arxiv.org/abs/hep-th/9805190v1

Adv.Theor.Math.Phys.2:847-864,1998

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, LaTeX2e

Scientific paper

We present the last missing details of our algorithm for the classification of reflexive polyhedra in arbitrary dimensions. We also present the results of an application of this algorithm to the case of three dimensional reflexive polyhedra. We get 4319 such polyhedra that give rise to K3 surfaces embedded in toric varieties. 16 of these contain all others as subpolyhedra. The 4319 polyhedra form a single connected web if we define two polyhedra to be connected if one of them contains the other.

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