Admissible Minkowski decomposition data on a 3D reflexive polytope produce a smoothing of the associated Gorenstein toric Fano 3-fold and an explicit Betti number recipe.
Polyhedral divisors and algebraic torus actions
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Smoothing Gorenstein toric Fano 3-folds
Admissible Minkowski decomposition data on a 3D reflexive polytope produce a smoothing of the associated Gorenstein toric Fano 3-fold and an explicit Betti number recipe.