Fiber products of two rational elliptic fibrations admit complete Calabi-Yau metrics with ALG/ALH type asymptotics and compactifications with negative canonical class.
On compact analytic surfaces: Ii.Annals of Mathematics, 77(3):563–626, 1963
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Complete Calabi-Yau metrics on noncompact abelian fibered threefolds
Fiber products of two rational elliptic fibrations admit complete Calabi-Yau metrics with ALG/ALH type asymptotics and compactifications with negative canonical class.