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We classify six-dimensional F-theory compactifications in terms of simple features of the divisor structure of the base surface of the elliptic fibration.
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A. Grassi, D. R. Morrison, “Group representations and the Euler characteristic of elliptically fibered Calabi-Yau threefolds”, J. Algebraic Geom. 12 (2003), 321-356 arXiv:math/0005196
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P. Candelas, E. Perevalov, G. Rajesh, “Toric geometry and enhanced gauge symmetry of F theory / heterotic vacua,” Nucl. Phys. B507
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V. Kumar and W. Taylor, “String Universality in Six Dimensions,” arXiv:0906.0987 [hep-th]
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D. R. Morrison and W. Taylor, “Matter and singularities,” arXiv:1106.3563 [hep-th]
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N. Seiberg and W. Taylor, “Charge Lattices and Consistency of 6D Supergravity,” JHEP 1106
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S. Katz, D. R. Morrison, S. Schafer-Nameki and J. Sully, “Tate’s algorithm and F-theory,” JHEP 1108
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