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Small resolutions of SU(5)-models in F-theory

Small resolutions of SU(5)-models in F-theory

We provide an explicit desingularization and study the resulting fiber geometry of elliptically fibered four-folds defined by Weierstrass models admitting a split Ã4 singularity over a divisor of the discriminant locus.Such varieties are used to geometrically engineer SU(5) grand unified theories in F-theory.The desingularization is given by a small resolution …