Titlebook: Conjectures in Arithmetic Algebraic Geometry; A Survey Wilfred W. J. Hulsbergen Book 1992 Springer Fachmedien Wiesbaden 1992 Algebra.Arithm

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,Arithmetic intersections and Beilinson’s third conjecture,rd conjecture regards this situation for smooth, projective varieties over ., and reduces to a weakened form of the Birch & Swinnerton-Dyer Conjectures in the case of an elliptic curve or an abelian variety over .. The elliptic regulator is generalized to become the determinant of an arithmetic inte

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Absolute Hodge cohomology, Hodge and Tate conjectures and Abel-Jacobi maps,ight filtration. In this way it applies to general schemes over the complex numbers. The relation with motivic cohomology is again given by a regulator map that is conjectured to have dense image, at least for smooth schemes that can be defined over a number field. This conjectured property induces

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Examples and Results,ant work of B. Gross and D. Zagier on the Birch & Swinnerton-Dyer Conjectures. Next, an overview of Deligne ‘s Conjecture on the L-function of an algebraic Hecke character is given. This conjecture is now a theorem, due to work of D. Blasius, G. Harder and N. Schappacker. The third and fourth sectio

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,R-Calculus for?Simplified Propositional Logics,Assume that the logical language of propositional logic contains three logical symbols: . There is a classical Gentzen deduction system . for propositional logic which is sound and complete with respect to classical semantics (Li .; Mendelson .; Takeuti .).

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