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In this lecture moduli dependent charges for p-extended objects are analyzedfor generic N-extended supergravities in dimensions 4 \leq D <10. Differentialrelations and sum rules among the charges are derived.Comment: 10 pages, LaTeX; Talk given at the WorkShop on Gauge Theories,  Applied Supersymmetry and Quantum Gravity, London, 5-10 July 199

SUPERGRAVITIES IN DIVERSE DIMENSIONS AND THEIR CENTRAL EXTENSION