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Chern classes and the periods of mirrors. (English) Zbl 0956.32015
Summary: We show how Chern classes of a Calabi-Yau hypersurface in a toric Fano manifold can be expressed in terms of the holomorphic, at a maximal degeneracy point, period of its mirror. We also consider the relation between the Chern classes and the periods of mirrors for complete intersections in Grassmannian $$Gr(2,5)$$.

##### MSC:
 32G20 Period matrices, variation of Hodge structure; degenerations 14J32 Calabi-Yau manifolds (algebro-geometric aspects)
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