On the Fine Interior of Three-dimensional Canonical Fano Polytopes

Abstract

The Fine interior ${\Delta }^{\text{FI}}$ of a $d$-dimensional lattice polytope $\Delta$ is a rational subpolytope of $\Delta$ which is important for constructing minimal birational models of non-degenerate hypersurfaces defined by Laurent polynomials with Newton polytope $\Delta$. This paper presents some computational results on the Fine interior of all $674,688$ three-dimensional canonical Fano polytopes.

27 pages, 7 figures

References in corpus (2)

• Integral Cohomology and Mirror Symmetry for Calabi-Yau 3-folds
• 3-Dimensional Lattice Polytopes Without Interior Lattice Points

Cited by in corpus (2)

• Mirror symmetry for quasi-smooth Calabi-Yau hypersurfaces in weighted projective spaces
• On the stringy Hodge numbers of mirrors of quasi-smooth Calabi-Yau hypersurfaces