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Elliptic Calabi-Yau fibrations with Mordell-Weil group of rank two are constructed.
Nagell, Trygve, “Sur les propriétés arithmétiques des cubiques planes du premier genre,” Acta mathematica 52.1 (1929): 93-126
1929
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D. R. Morrison and C. Vafa, “Compactifications of F theory on Calabi-Yau threefolds. 1,” Nucl. Phys. B 473
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P. Candelas and A. Font, “Duality between the webs of heterotic and type II vacua,” Nucl. Phys. B 511
1998
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M. Kreuzer and H. Skarke, “Calabi-Yau four folds and toric fibrations,” J. Geom. Phys. 26
1998
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V. Bouchard and H. Skarke, “Affine Kac-Moody algebras, CHL strings and the classification of tops,” Adv. Theor. Math. Phys. 7
2003
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2010
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2010
Cited alongside, same era.
E. Dudas and E. Palti, “On hypercharge flux and exotics in F-theory GUTs,” JHEP 1009
2010
Cited alongside, same era.
2010
Cited alongside, same era.
C. Beasley, J. J. Heckman and C. Vafa, “GUTs and Exceptional Branes in F-theory - I,” JHEP 0901
2011
Cited alongside, same era.
2012
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2012
Later among the works it cites.
T. W. Grimm and H. Hayashi, “F-theory fluxes, Chirality and Chern-Simons theories,” JHEP 1203
2012
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2012
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2011
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2011
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J. Borchmann, E. Palti, C. Mayrhofer, T. Weigand, “ S U ( 5 ) SU(5) Tops with (Multiple) U ( 1 ) U(1) s” to appear
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Cited in the paper.
Cited in the paper.
2012
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