1997/02/28 by A.C. Avram, A. C. Avram, M. Kreuzer +4
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Black Holes and Theoretical Physics #Geometry and complex manifolds #hep-th
paper · pdf · doi:10.1016/s0550-3213(97)00582-8
published as Nucl.Phys. B505 (1997) 625-640 · TeX, epsf.tex; 24 pages
arxiv created 1997/02/28 · openalex publication_date 1997/11/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/03
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 occurring in this approach. We show that all of the corresponding Calabi-Yau manifolds are connected among themselves and to the web of CICYs. This almost completes the proof of connectedness for toric Calabi-Yau hypersurfaces.