Formalisation of toric varieties in Lean 4
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Updated
Jul 29, 2026 - Lean
Formalisation of toric varieties in Lean 4
Compute sheaf cohomology of coherent sheaves on toric varieties
Tools for Calabi-Yau hypersurfaces in normal toric varieties associated to triangulations of reflexive polytopes in the Kreuzer-Skarke lists.
Simulates Chemical Reaction System of Partial-Log-Linear Model
toric is a GAP package (gap-system.org) for doing computations with toric varieties.
This repository is an implementation of algebro-geometric objects called "Toric Varieties". Please check out the read-me file for more description.
Exact verification companion to the paper 'Slope stability of tangent bundles of smooth toric Fano varieties' (Wuebben, 2026): reproducible Klyachko-criterion sweep, certificates, and data for all 8630 smooth toric Fanos in dimensions 3–6.
Code, data, and three papers on the smoothability of Calabi–Yau threefolds arising as anticanonical hypersurfaces in Gorenstein toric Fano fourfolds, with exact sweeps over the Kreuzer–Skarke reflexive-polytope classification and Batyrev mirror symmetry.
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