Abstract
The massless spectra of (2, 2) superconformal Gepner models with arbitrary (in particular D-type) affine invariants are presented. The algebraic manifolds corresponding to these models are constructed. The calculation of their Euler numbers and identification of their discrete symmetries is described, and a comparison of these properties with the spectra and discrete symmetries of the Gepner models is made. Orbifoldizing systematically with respect to the discrete symmetries, models with a small number of generations are obtained.
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