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A three‐generation Calabi‐Yau manifold with small Hodge numbers

A three‐generation Calabi‐Yau manifold with small Hodge numbers

We present a complete intersection Calabi-Yau manifold Y that has Euler number -72 and which admits free actions by two groups of automorphisms of order 12. These are the cyclic group Z_12 and the non-Abelian dicyclic group Dic_3. The quotient manifolds have chi=-6 and Hodge numbers (h^11,h^21)=(1,4). With the standard …