Stringy -functions of canonical toric Fano threefolds and their applications

Abstract

Let be a -dimensional lattice polytope containing exactly one interior lattice point. We give a simple combinatorial formula for computing the stringy -function of the -dimensional canonical toric Fano variety associated with . Using the stringy Libgober– Wood identity and our formula, we generalize the well-known combinatorial identity which holds for -dimensional reflexive polytopes .