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Abstract: While Calabi-Yau hypersurfaces in toric ambient spaces provide a huge numberof examples, theoretical considerations as well as applications to stringphenomenology often suggest a broader perspective. With even the question offiniteness of diffeomorphism types of CY 3-folds unsettled, an important ideais Reid-s conjecture that the moduli spaces are connected by certain singulartransitions. We summarize the results of our recent construction of a largeclass of new CY spaces with small Picard numbers and of their mirrors viaconifold transitions and discuss the benefits of other approaches tointeresting locations in the web that have been or should be pursued.



Author: Maximilian Kreuzer

Source: https://arxiv.org/







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