Classifier Instance:

Anchor text: Enriques surface
Target Entity: Enriques_surface
Preceding Context: In two complex dimensions, the K3 surfaces furnish the only compact simply connected Calabi–Yau manifolds. Non simply-connected examples are given by abelian surfaces.
Succeeding Context: s and hyperelliptic surfaces have first Chern class that vanishes as an element of the real cohomology group, but not as an element of the integral cohomology group, so Yau's theorem about the existence of a Ricci-flat metric still applies to them but they are sometimes not considered to be Calabi–Yau manifolds. Abelian surfaces are sometimes excluded from the classification of being Calabi–Yau, as their holonomy (again the trivial group) is a proper subgroup of SU(2), instead of being isomorphic to SU(2).
Paragraph Title: Examples
Source Page: Calabi–Yau manifold

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