%0 Journal Article %T Chern classes and the periods of mirrors %A A. Libgober %J Mathematics %D 1998 %I arXiv %X 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 Chern classes and the periods of mirrors for complete intersections in Grassmanian Gr(2,5). %U http://arxiv.org/abs/math/9803119v1