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006			m o d |
007			cr cnu||||||||
008			240724s1987 xx o ||||0 eng d
020			_a9780821833858 _q(electronic bk.)
020			_z9780821850749
035			_a(MiAaPQ)EBC3112857
035			_a(Au-PeEL)EBL3112857
035			_a(CaPaEBR)ebr10873020
035			_a(OCoLC)882234640
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA242.5 -- .A47 1985eb
082	0		_a516.3/5
100	1		_aRibet, Kenneth A.
245	1	0	_aCurrent Trends in Arithmetical Algebraic Geometry.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c1987.
264		4	_c©1987.
300			_a1 online resource (311 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aContemporary Mathematics ; _vv.67
505	0		_aIntro -- 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 C∞ -- 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 (adèlic 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 Ω2 (C∞) -- 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 -- 1. Coclosed I-cochains and the special representation -- 2. Limit cohomology and automorphic forms -- 3. Properties of the correspondence π → σ(π) -- 4. Local Langlands' conjecture in characteristic p -- Bibliography.
505	8		_aLe déterminant de la cohomologie -- 1. Description du théorème principal -- 2. Programme -- 3. Analogies -- 4. Objets virtuels -- 5. Fibrés métriques virtuels -- 6. Integrale d'un produit de premières classes de Chern -- 7. &lt -- L , M&gt -- et cohamologie -- 8. Intégrale d 'un produit de premieres classes de Chern. cas général (esquisse) -- 9. IC2 et iscmorphisme de Riemann-Roch -- 10. Métriser IC2 -- 11. Le théorème -- p-adic periods and p-adic étale cohomology -- An introduction to higher dimensional Arakelov theory -- Diophantine problems in complex hyperbolic analysis -- Cubic exponential sums and Galois representations -- Lettre à 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 -- Présentation de la théorie d 'Arakélov.
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_aArithmetical algebraic geometry -- Congresses.
655		4	_aElectronic books.
776	0	8	_iPrint version: _aRibet, Kenneth A. _tCurrent Trends in Arithmetical Algebraic Geometry _dProvidence : American Mathematical Society,c1987 _z9780821850749
797	2		_aProQuest (Firm)
830		0	_aContemporary Mathematics
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3112857 _zClick to View
999			_c68392 _d68392