The Web of Calabi-Yau hypersurfaces in toric varieties

  title={The Web of Calabi-Yau hypersurfaces in toric varieties},
  author={A. Avram and M. Kreuzer and M. Mandelberg and H. Skarke},
  journal={Nuclear Physics},
Abstract Recent results on duality between string theories and connectedness of their moduli spaces seem to go a long way toward establishing the uniqueness of an underlying theory. For the large class of Calabi-Yau 3-folds that can be embedded as hypersurfaces in toric varieties the proof of mathematical connectedness via singular limits is greatly simplified by using polytopes that are maximal with respect to certain single or multiple weight systems. We identify the multiple weight systems… Expand

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