Current trends in arithmetical algebraic geometry : proceedings of the AMS-IMS-SIAM Joint Summer Research Conference, held August 18-24, 1985, with support from the National Science Foundation / Kenneth A. Ribet, editor.

Providence, Rhode Island : American Mathematical Society, [1987]
Conference Name:
AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on Current Trends in Arithmetical Algebraic Geometry (1985 : Humboldt State University), issuing body.
Contemporary mathematics (American Mathematical Society) ; volume 67.
Contemporary mathematics, 0271-4132 ; volume 67
1 online resource (311 p.)
Arithmetical algebraic geometry -- Congresses.
Electronic books.
""Contents""; ""Introduction""; ""Height pairing between algebraic cycles""; ""Introduction""; ""1. Height pairing in geometric situation (global construction)""; ""2. Local indexes over non-archimedean places""; ""3. Local indexes over C or R""; ""4. Height pairing over number fields""; ""5. Some conjectures and problems""; ""Survey of Drinfel'd modules""; ""Introduction""; ""Chapter 1. Algebraic theory of Drinfel 'd modules""; ""Â1. Endomorphisms of the additive group""; ""Â2. Definition of Drinfei 'd module over a field""; ""Â3. Division points""; ""Â4. Isogenies""
""Â5. Drinfel 'd modules over a base scheme""""Â6. Level structure and the moduli space""; ""Chapter 2. Analytic theory of the affine modules of Drinfel 'd""; ""Â1. Exponential function associated to a lattice""; ""Â2. Characterization of Drinfel 'd modules over Câe17E;""; ""Â3. Discrete modules in a vector space over a local field""; ""Â4. Moduli spaces as homogeneous spaces (local theory)""; ""Â5. Moduli spaces as homogeneous spaces (adelic theory)""; ""Chapter 3. The rigid analytic moduli space""; ""Â1. Norms on vector spaces over a local field""
""Â2. The building for PGL(V) over a local field""""Â3. Metric on the building""; ""Â4. The mapping from the p-adic symmetric space to the building""; ""Â5. Filtration of the I-dimensional p-adic symmetric space""; ""Chapter 4. Cohomology of the moduli space""; ""Â1. Generalities of the cohomology of rigid analytic spaces""; ""Â2. Cohomology of Ω2 (C17E;)""; ""Â3. A simple topological model""; ""Â4. Cohomology of the moduli space with fixed level structure""; ""Chapter 5. Applications to relations between automorphic forms and Galois representations""
""8. Integrale d 'un produit de premieres classes de Chern. cas general (esquisse)""""9. IC2 et iscmorphisme de Riemann-Roch""; ""10. Metriser IC2""; ""11. Le theoreme""; ""p-adic periods and p-adic etale cohomology""; ""An introduction to higher dimensional Arakelov theory""; ""Diophantine problems in complex hyperbolic analysis""; ""Cubic exponential sums and Galois representations""; ""Lettre ; J-F. Mestre""; ""A survey of the theory of height functions""; ""1. Weil heights""; ""2. Metrized line bundles""; ""3. The degree of a metrtzed line bundle""
""4. The modular height of an abelian variety""
English and French.
"AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on Current Trends in Arithmetical Algebraic Geometry was held at Humboldt State University"--T.p. verso.
Includes bibliographies.
Description based on print version record.
Ribet, Kenneth, editor.
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