2604.00776 Toric Varieties from Reflexive Polytopes: A Computational Census Extending the Kreuzer-Skarke Database
Extend the Kreuzer-Skarke database of 4D reflexive polytopes by computing topological invariants of the associated Calabi-Yau threefolds. We compute Hodge numbers (h^{1,1}, h^{2,1}) for 27,341 previously uncharacterized polytopes using PALP and CYTools.