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Activity coefficients

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La notion d'activité chimique en thermodynamique intéresse des chimistes et physiciens. Ce livre est un essai de synthèse de travaux théoriques pouvant permettre la compréhension de la signification physique profonde de la grandeur « activité ». Bien que ce concept soit manipulé depuis un siècle avec succès, sa signification en termes de grandeurs moléculaires reste bien mystérieuse à l'heure actuelle, y compris pour ses « praticiens ». Le livre comprend deux grandes parties et est suivi de quelques appendices. La première partie traite le concept d'activité en thermodynamique classique ; la deuxième partie concerne le concept d'activité considéré sous l'angle de la thermodynamique statistique. Des appendices, le plus souvent d'ordre mathématique, sont placés en fin de livre ; ils ont pour objet de raccourcir les développements généraux.

Activity coefficients. --- Activity theory --- Chemical kinetics --- Chemical reaction, Conditions and laws of

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Algebraic geometry --- Abelian varieties --- Abelse varieteiten --- Coefficiententheorie --- Moduli theory --- Theorie des coefficients --- Varieties Abelian --- Variétés abéliennes --- Abelian varieties. --- Moduli theory.

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Abelian varieties can be classified via their moduli. In positive characteristic the structure of the p-torsion-structure is an additional, useful tool. For that structure supersingular abelian varieties can be considered the most special ones. They provide a starting point for the fine description of various structures. For low dimensions the moduli of supersingular abelian varieties is by now well understood. In this book we provide a description of the supersingular locus in all dimensions, in particular we compute the dimension of it: it turns out to be equal to Äg.g/4Ü, and we express the number of components as a class number, thus completing a long historical line where special cases were studied and general results were conjectured (Deuring, Hasse, Igusa, Oda-Oort, Katsura-Oort).

Group theory --- Abelian varieties --- Algebraic varieties --- Moduli theory --- Classification theory --- Mathematical Theory --- Mathematics --- Physical Sciences & Mathematics --- Abelse varieteiten --- Coefficiententheorie --- Theorie des coefficients --- Varieties Abelian --- Variétés abéliennes --- Algebraic geometry. --- Algebraic Geometry. --- Algebraic geometry --- Geometry --- Algebraic varieties - Classification theory

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Group theory --- Algebraic geometry --- 3-folds (Algebraic geometry) --- Coefficiententheorie --- Drievouden (Algebraïsche geometrie) --- Moduli theory --- Oppervlakken [Algebraïsche ] --- Surfaces [Algebraic ] --- Surfaces algébriques --- Theorie des coefficients --- Three-folds (Algebraic geometry) --- Threefolds (Algebraic geometry) --- Variétés à 3 dimensions --- Moduli theory. --- Surfaces, Algebraic. --- Threefolds(Algebraic geometry) --- Surfaces, algebraic