LEADER 04383nam 2200529 450 001 9910146555803321 005 20220902023119.0 010 $a0-8218-3385-5 035 $a(CKB)1000000000523296 035 $a(EBL)3112857 035 $a(SSID)ssj0000667804 035 $a(PQKBManifestationID)11365039 035 $a(PQKBTitleCode)TC0000667804 035 $a(PQKBWorkID)10698950 035 $a(PQKB)11152076 035 $a(MiAaPQ)EBC3112857 035 $a(RPAM)3367183 035 $a(PPN)197103871 035 $a(EXLCZ)991000000000523296 100 $a19870409h19871987 uy| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aCurrent trends in arithmetical algebraic geometry $eproceedings of the AMS-IMS-SIAM Joint Summer Research Conference, held August 18-24, 1985, with support from the National Science Foundation /$fKenneth A. Ribet, editor 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[1987] 210 4$dİ1987 215 $a1 online resource (311 p.) 225 1 $aContemporary mathematics,$x0271-4132 ;$v67$x0271-4132 300 $aEnglish and French. 300 $a"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. 311 $a0-8218-5074-1 320 $aIncludes bibliographies. 327 $aContents -- 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 -- 1. Endomorphisms of the additive group -- 2. Definition of Drinfei 'd module over a field -- 3. Division points -- 4. Isogenies -- 5. Drinfel 'd modules over a base scheme -- 6. Level structure and the moduli space -- Chapter 2. Analytic theory of the affine modules of Drinfel 'd -- 1. Exponential function associated to a lattice -- 2. Characterization of Drinfel 'd modules over Ce17E -- 3. Discrete modules in a vector space over a local field -- 4. Moduli spaces as homogeneous spaces (local theory) -- 5. Moduli spaces as homogeneous spaces (adelic theory) -- Chapter 3. The rigid analytic moduli space -- 1. Norms on vector spaces over a local field -- 2. The building for PGL(V) over a local field -- 3. Metric on the building -- 4. The mapping from the p-adic symmetric space to the building -- 5. Filtration of the I-dimensional p-adic symmetric space -- Chapter 4. Cohomology of the moduli space -- 1. Generalities of the cohomology of rigid analytic spaces -- 2. Cohomology of I?*2 (C17E --) -- 3. A simple topological model -- 4. 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 -- 5. Canonical heights on abelian varieties -- 6. The difference of the Well and canonical heights -- 7. Lower bounds for the canonical height -- 8. Specialization theorems -- Presentation De La Theorie D'Araicelov. 410 0$aContemporary mathematics (American Mathematical Society).$v67$x0271-4132 606 $aArithmetical algebraic geometry$vCongresses 615 0$aArithmetical algebraic geometry 676 $a516.3/5 702 $aRibet$b Kenneth 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910146555803321 996 $aCurrent trends in arithmetical algebraic geometry$9342729 997 $aUNINA