Abstract
GEOMETRY.—The Francceur prize, 1000 francs, is awarded annually for discoveries or work useful to the progress of pure and applied mathematics. For the Bordin prize, 3000 francs, the question proposed is as follows:—The absolute invariant which represents the number of distinct double integrals of the second species of an algebraic surface depends on a relative invariant p, which plays an important part in the theory of the integrals of total differentials of the third species and in that of algebraic curves traced on the surface. It is proposed to make a profound study of this invariant, and especially to find out how to determine its exact value, at least, for numerous kinds of surfaces.
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Prizes Proposed by the Paris Academy of Sciences for 1909. Nature 77, 183 (1907). https://doi.org/10.1038/077183a0
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DOI: https://doi.org/10.1038/077183a0