Kähler manifolds with positive first Chern class and mirrors of rigid Calabi-Yau manifolds

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Recent work on the relation between a special class of Kähler manifolds with positive first Chern class and critical N$=$2 string vacua with c$=$9 is reviewed and extended. (Based on a talk presented at the International Workshop on Supersymmetry and Unification of Fundamental Interactions (SUSY 93), Boston, MA, March 1993)
18 pages

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