Correspondences between modular Calabi--Yau fiber products

Mathematics – Algebraic Geometry

Scientific paper

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11 pages

Scientific paper

We describe two ways to construct finite rational morphisms between fiber
products of rational elliptic surfaces with section and some Calabi--Yau
manifolds. We use them to construct correspondences between such fiber products
that admit at most five singular fibers and rigid Calabi--Yau threefolds.

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