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We analyse the Noether charges for scalar and Maxwell fields on light coneson a de Sitter, Minkowski, and anti-de Sitter backgrounds. Somewhatsurprisingly, under natural asymptotic conditions all charges for the Maxwellfields on both the de Sitter and anti-de Sitter backgrounds are finite. On theother hand, one needs to renormalise the charges for the conformally-covariantscalar field when the cosmological constant does not vanish. In both caseswell-defined renormalised charges, with well-defined fluxes, are obtained.Again surprisingly, a Hamiltonian analysis of a suitably rescaled scalar fieldleads to finite charges, without the need to renormalise. Last but not least,we indicate natural phase spaces where the Poisson algebra of charges is welldefined.

Hamiltonian charges on light cones for linear field theories on (A)dS backgrounds