|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910146555803321 |
|
|
Titolo |
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 |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Providence, Rhode Island : , : American Mathematical Society, , [1987] |
|
©1987 |
|
|
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Descrizione fisica |
|
1 online resource (311 p.) |
|
|
|
|
|
|
Collana |
|
Contemporary mathematics, , 0271-4132 ; ; 67 , 0271-4132 |
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Arithmetical algebraic geometry |
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Note generali |
|
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. |
|
|
|
|
|
|
|
|
Nota di bibliografia |
|
|
|
|
|
|
Nota di contenuto |
|
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 -- 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. |
|
|
|
|