Mirror Symmetry I

This volume represents a new edition of the papers which were originally published in Essays on Mirror Manifolds. That volume has continued to be quite popular, and this new edition is supplemented by an additional volume, Mirror Symmetry 2, edited by B. Greene and myself. In this volume, we would like to address a number of errors which were found in the original: for example, the workshop on Mirror Manifolds at the Mathematical Sciences Research Institute took place in 1991, not 1911. The paper by Geir Ellingsrud and Stein A. Stromme has been withdrawn at the authors’ request. Meanwhile, P.M.H. Wilson’s paper on “Kahler Classes on Calabi- Yau Threefolds— an Informal Survey”; Sheldon Katz’s paper on “Rational Curves on Calabi- Yau Threefolds”; Ziv Ran’s paper on “Deformations of Calabi-Yau Kleinfolds”; and David R. Morrison’s paper on “Picard-Fuchs Equations and Mirror Maps for Hypersurfaces” have all been corrected per new drafts from the authors. We are quite pleased with the continuing interest in each of the papers in this volume and look forward to the continuing development of this field in the new century. S.-T. Yau Cambridge, MA