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A Note on $h^{2,1}$ of Divisors of CY Fourfolds I (2107.09779v2)
Published 20 Jul 2021 in hep-th and math.AG
Abstract: In this note, we prove combinatorial formulas for $h{2,1}$ of prime toric divisors in an arbitrary toric hypersurface Calabi-Yau fourfold $Y_4.$ We show that it is possible to find a toric hypersurface Calabi-Yau in which there are more than $h{1,1}(Y_4)$ non-perturbative superpotential terms with trivial intermediate Jacobian. Hodge numbers of divisors in toric CICYs are the subjects of the part two.