Fibration structure in toric hypersurface Calabi-Yau threefolds
arXiv:1907.09482 · doi:10.1007/JHEP03(2020)172
Abstract
We find through a systematic analysis that all but 29,223 of the 473.8 million 4D reflexive polytopes found by Kreuzer and Skarke have a 2D reflexive subpolytope. Such a subpolytope is generally associated with the presence of an elliptic or genus one fibration in the corresponding birational equivalence class of Calabi-Yau threefolds. This extends the growing body of evidence that most Calabi-Yau threefolds have an elliptically fibered phase.
arXiv comment14 pages, 4 figures; v2: minor changes, comments added
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