关于CY四重I的除数的$h^{2,1}$的注记
A Note on $h^{2,1}$ of Divisors of CY Fourfolds I
摘要：
本文证明了任意复曲面Calabi-Yau四重$Y_4.$中素复曲面因子的$h^{2,1}$的组合公式。我们证明了有可能找到一个复曲面Calabi-Yau，其中有多个$h^{1,1}(Y_4)$非微扰超势项，且中间Jacobian是平凡的。第二部分研究复曲面CICY中因子的Hodge数。
英文摘要：
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.
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