Coble published " Configurations defined by theta functions ", which reviewed the invariant theory of Cremona transformations as developed by Coble in his earlier papers, in the " Duke Mathematical Journal " in 1939 . A linear homogeneous transformation with integral coefficients is associated with a Cremona transformation.
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His research interests are in synthetic, structural and mechanistic organotransition metal chemistry, including most recently catalysts for polymerization and trimerization of olefins and investigations of hydrocarbon hydroxylation; fundamental transformations and thermodynamics of organotransition metal chemistry; catalysts for hydrocarbon partial oxidation; catalysts for olefin trimerization and polymerization; homogeneous transformations of carbon monoxide and dihydrogen to fuels and chemicals.
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