Explicit lattice computations in weighted Fermat hypersurfaces show symmetric self-dual Hodge classes typically overshoot M2-brane tadpole bounds due to Galois orbits, except at one high h^{1,1} point where the conjecture holds.
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Hodge theory and $G_4$ fluxes in weighted projective spaces: Galois action
Explicit lattice computations in weighted Fermat hypersurfaces show symmetric self-dual Hodge classes typically overshoot M2-brane tadpole bounds due to Galois orbits, except at one high h^{1,1} point where the conjecture holds.