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Some features of $$(0,2)$$ moduli space. (English) Zbl 0951.81061
Summary: We discuss some aspects of perturbative $$(0,2)$$ Calabi-Yau moduli space. In particular, we show how models with different $$(0,2)$$ data can meet along various sub-loci in their moduli space. In the simplest examples, the models differ by the choice of desingularization of a holomorphic $$V$$-bundle over the same resolved Calabi-Yau base while in more complicated examples, even the smooth Calabi-Yau base manifolds can be topologically distinct. These latter examples extend and clarify a previous observation which was limited to singular Calabi-Yau spaces and seem to indicate a multicritical structure in moduli space. This should have a natural F-theory counterpart in terms of the moduli space of Calabi-Yau four-folds.

##### MSC:
 81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory 32G81 Applications of deformations of analytic structures to the sciences 14J32 Calabi-Yau manifolds (algebro-geometric aspects) 32G13 Complex-analytic moduli problems 32J81 Applications of compact analytic spaces to the sciences
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