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We give an indirect argument for the matching G2 = −π∗γ of four-flux and discrete twist in the duality between N = 1 heterotic string and F -theory. This treats in detail the Euler number computation for the physically relevant case of a Calabi-Yau fourfold with singularities. bandreas@physics.unc.edu, supported by U.S. DOE grant DE-FG05-85ER40219/Task A. curio@ias.edu, supported by NSF grant DMS9627351. E-mail address after 1.July: curio@physik.hu-berlin.de

On discrete twist and four-flux in $N = 1$ heterotic/$F$-theory compactifications