A Z_d grading of E8 unifies the U-duality representations and rational-curve classes in mysterious duality, and the rational curves are precisely the helical line bundles on del Pezzo surfaces.
Julia, Dualities in the classical supergravity limits, in Strings, Branes and Dualities,, pp 121-139, Baulieu et al (eds) NATO ASI Series C 520 Springer
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Mysterious duality and helical line bundles on del Pezzo surfaces
A Z_d grading of E8 unifies the U-duality representations and rational-curve classes in mysterious duality, and the rational curves are precisely the helical line bundles on del Pezzo surfaces.