## All complete intersection Calabi-Yau four-folds.(English)Zbl 1342.14086

Summary: We present an exhaustive, constructive, classification of the Calabi-Yau fourfolds which can be described as complete intersections in products of projective spaces. A comprehensive list of 921,497 configuration matrices which represent all topologically distinct types of complete intersection Calabi-Yau four-folds is provided and can be downloadedhere. The manifolds have non-negative Euler characteristics in the range $$0 \leq \chi \leq 2610$$. This data set will be of use in a wide range of physical and mathematical applications. Nearly all of these four-folds are elliptically fibered and are thus of interest for F-theory model building.

### MSC:

 14J32 Calabi-Yau manifolds (algebro-geometric aspects) 32Q25 Calabi-Yau theory (complex-analytic aspects)
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### References:

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