Fetching the paper…
Reading the bibliography…
We analyze general F-theory compactifications with U(1) x U(1) x U(1) Abelian gauge symmetry by constructing the general elliptically fibered Calabi-Yau manifolds with a rank three Mordell-Weil group of rational sections.
1929
Earlier work this paper cites.
K. Kodaira, “On compact analytic surfaces: Ii,” The Annals of Mathematics
1963
Earlier work this paper cites.
A. Néron, “Modeles minimaux des variétés abéliennes sur les corps locaux et globaux,” Publications Mathématiques de L’IHÉS
1964
Earlier work this paper cites.
J. Tate, “Algorithm for determining the type of a singular fiber in an elliptic pencil,” Modular functions of one variable IV
1975
Earlier work this paper cites.
T. Shioda, “Mordell-Weil lattices and Galois representation. I,” Proc. Japan Acad
1989
Earlier work this paper cites.
T. Shioda, “On the Mordell-Weil lattices,” Comment. Math. Univ. St. Paul
1990
Earlier work this paper cites.
Cambridge University Press, 1991
J. W. S. Cassels, LMSST: 24 Lectures on Elliptic Curves · 1991
Earlier work this paper cites.
J. Erler, “Anomaly cancellation in six-dimensions,” J.Math.Phys
1994
Earlier work this paper cites.
C. Vafa, “Evidence for F theory,” Nucl.Phys
1996
Earlier work this paper cites.
D. R. Morrison and C. Vafa, “Compactifications of F theory on Calabi-Yau threefolds. 1,” Nucl.Phys
1996
Earlier work this paper cites.
D. R. Morrison and C. Vafa, “Compactifications of F theory on Calabi-Yau threefolds. 2.,” Nucl.Phys
1996
Earlier work this paper cites.
M. Bershadsky, K. A. Intriligator, S. Kachru, D. R. Morrison, V. Sadov, et al
1996
Earlier work this paper cites.
I. Connell, “Elliptic curve handbook,” Preprint
1996
Earlier work this paper cites.
P. Candelas, E. Perevalov, and G. Rajesh, “Toric geometry and enhanced gauge symmetry of F theory / heterotic vacua,” Nucl.Phys
1997
Earlier work this paper cites.
S. H. Katz and C. Vafa, “Matter from geometry,” Nucl.Phys
1997
Earlier work this paper cites.
P. Candelas and A. Font, “Duality between the webs of heterotic and type II vacua,” Nucl.Phys
1998
Earlier work this paper cites.
P. S. Aspinwall and D. R. Morrison, “Nonsimply connected gauge groups and rational points on elliptic curves,” JHEP
1998
Cited alongside, same era.
D. A. Cox and S. Katz, Mirror symmetry and algebraic geometry · 1999
Cited alongside, same era.
P. S. Aspinwall, S. H. Katz, and D. R. Morrison, “Lie groups, Calabi-Yau threefolds, and F theory,” Adv.Theor.Math.Phys
2000
Cited alongside, same era.
V. Bouchard and H. Skarke, “Affine Kac-Moody algebras, CHL strings and the classification of tops,” Adv.Theor.Math.Phys
2003
Cited alongside, same era.
G. Honecker, “Massive U(1)s and heterotic five-branes on K3,” Nucl.Phys
2006
Cited alongside, same era.
E. Dudas and E. Palti, “On hypercharge flux and exotics in F-theory GUTs,” JHEP
2010
Later among the works it cites.
2010
Later among the works it cites.
R. Donagi and M. Wijnholt, “Breaking GUT Groups in F-Theory,” Adv.Theor.Math.Phys
2011
Later among the works it cites.
J. Knapp and M. Kreuzer, “Toric Methods in F-theory Model Building,” Adv.High Energy Phys
2011
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2009
Cited alongside, same era.
2009
Cited alongside, same era.
Springer, 2009
J. H. Silverman, The arithmetic of elliptic curves · 2009
Cited alongside, same era.
2009
Cited alongside, same era.
R. Blumenhagen, T. W. Grimm, B. Jurke, and T. Weigand, “Global F-theory GUTs,” Nucl.Phys
2010
Cited alongside, same era.
J. Marsano, N. Saulina, and S. Schafer-Nameki, “Compact F-theory GUTs with U(1) (PQ),” JHEP
2010
Cited alongside, same era.
C.-M. Chen, J. Knapp, M. Kreuzer, and C. Mayrhofer, “Global SO(10) F-theory GUTs,” JHEP
2010
Cited alongside, same era.
2011
Later among the works it cites.
2011
Later among the works it cites.
2011
Later among the works it cites.
2012
Later among the works it cites.
A. P. Braun, A. Collinucci, and R. Valandro, “G-flux in F-theory and algebraic cycles,” Nucl.Phys
2012
Later among the works it cites.
2012
Later among the works it cites.
T. W. Grimm and H. Hayashi, “F-theory fluxes, Chirality and Chern-Simons theories,” JHEP
2012
Later among the works it cites.
2012
Later among the works it cites.
2012
Later among the works it cites.
D. S. Park, “Anomaly Equations and Intersection Theory,” JHEP
2012
Later among the works it cites.
2013
Closest in time.