Fibration structure in toric hypersurface Calabi-Yau threefolds
High Energy Physics - Theory
2020-04-22 v2 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.1907.09482,
title = {Fibration structure in toric hypersurface Calabi-Yau threefolds},
author = {Yu-Chien Huang and Washington Taylor},
journal= {arXiv preprint arXiv:1907.09482},
year = {2020}
}
Comments
14 pages, 4 figures; v2: minor changes, comments added