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The Arithmetic and Geometry of Algebraic Cycles - Gordon, B. Brent (Herausgeber); Lewis, James D. (Herausgeber); Yui, Noriko (Herausgeber); Saito, Shuji (Herausgeber); Müller-Stach, Stefan (Herausgeber)
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Gordon, B. Brent (Herausgeber); Lewis, James D. (Herausgeber); Yui, Noriko (Herausgeber); Saito, Shuji (Herausgeber); Müller-Stach, Stefan (Herausgeber):

The Arithmetic and Geometry of Algebraic Cycles - Livres de poche

2000, ISBN: 0792361946

Softcover reprint of the original 1st ed. 2000 Kartoniert / Broschiert Algebraische Geometrie, Geometrie / Algebraische Geometrie, Mathematik, Algebra, Mathematische Analysis, allgemein… Plus…

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The Arithmetic and Geometry of Algebraic Cycles - Gordon, B. Brent (Herausgeber); Lewis, James D. (Herausgeber); Yui, Noriko (Herausgeber); Saito, Shuji (Herausgeber); Müller-Stach, Stefan (Herausgeber)
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Gordon, B. Brent (Herausgeber); Lewis, James D. (Herausgeber); Yui, Noriko (Herausgeber); Saito, Shuji (Herausgeber); Müller-Stach, Stefan (Herausgeber):

The Arithmetic and Geometry of Algebraic Cycles - Livres de poche

2000, ISBN: 0792361946

Softcover reprint of the original 1st ed. 2000 Kartoniert / Broschiert Algebraische Geometrie, Geometrie / Algebraische Geometrie, Mathematik, Algebra, Mathematische Analysis, allgemein… Plus…

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The Arithmetic and Geometry of Algebraic Cycles (Nato Science Series C:, 548, Band 548) - Brent Gordon, B. Lewis, James D. Müller-Stach, Stefan, Saito, Shuji
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Brent Gordon, B. Lewis, James D. Müller-Stach, Stefan, Saito, Shuji:
The Arithmetic and Geometry of Algebraic Cycles (Nato Science Series C:, 548, Band 548) - Livres de poche

2008

ISBN: 9780792361947

Springer, Taschenbuch, Auflage: Softcover reprint of the original 1st ed. 2000, 648 Seiten, Publiziert: 2008-05-27T00:00:01Z, Produktgruppe: Buch, 1.97 kg, Algebra & Zahlentheorie, Naturw… Plus…

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The Arithmetic and Geometry of Algebraic Cycles
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The Arithmetic and Geometry of Algebraic Cycles - Livres de poche

2000, ISBN: 9780792361947

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B. Brent Gordon:
The Arithmetic and Geometry of Algebraic Cycles - Livres de poche

2000, ISBN: 0792361946

[EAN: 9780792361947], Nouveau livre, [SC: 3.44], [PU: Springer], PRINT ON DEMAND Book; New; Fast Shipping from the UK., Books

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The Arithmetic and Geometry of Algebraic Cycles
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ISBN:

0792361946


The subject of algebraic cycles has thrived through its interaction with algebraic K-theory, Hodge theory, arithmetic algebraic geometry, number theory, and topology. These interactions have led to such developments as a description of Chow groups in terms of algebraic K-theory, the arithmetic Abel-Jacobi mapping, progress on the celebrated conjectures of Hodge and Tate, and the conjectures of Bloch and Beilinson. The immense recent progress in algebraic cycles, based on so many interactions with so many other areas of mathematics, has contributed to a considerable degree of inaccessibility, especially for graduate students. Even specialists in one approach to algebraic cycles may not understand other approaches well. This book offers students and specialists alike a broad perspective of algebraic cycles, presented from several viewpoints, including arithmetic, transcendental, topological, motives and K-theory methods. Topics include a discussion of the arithmetic Abel-Jacobi mapping, higher Abel-Jacobi regulator maps, polylogarithms and L-series, candidate Bloch-Beilinson filtrations, applications of Chern-Simons invariants to algebraic cycles via the study of algebraic vector bundles with algebraic connection, motivic cohomology, Chow groups of singular varieties, and recent progress on the Hodge and Tate conjectures for Abelian varieties.

Informations détaillées sur le livre - The Arithmetic and Geometry of Algebraic Cycles


EAN (ISBN-13): 9780792361947
ISBN (ISBN-10): 0792361946
Version reliée
Livre de poche
Date de parution: 2000
Editeur: Springer Netherlands
648 Pages
Poids: 0,956 kg
Langue: eng/Englisch

Livre dans la base de données depuis 2007-05-18T16:40:59+02:00 (Paris)
Page de détail modifiée en dernier sur 2024-04-06T20:49:40+02:00 (Paris)
ISBN/EAN: 0792361946

ISBN - Autres types d'écriture:
0-7923-6194-6, 978-0-7923-6194-7
Autres types d'écriture et termes associés:
Auteur du livre: yui, stach, brent, stefan müller, lewis, james gordon, will james, muller, students series, noriko saito
Titre du livre: arithmetic geometry algebraic cycles, held, series cycle

Données de l'éditeur

Auteur: B. Brent Gordon; James D. Lewis; Stefan Müller-Stach; Shuji Saito; Noriko Yui
Titre: Nato Science Series C:; The Arithmetic and Geometry of Algebraic Cycles
Editeur: Springer; Springer Netherland
615 Pages
Date de parution: 2000-02-29
Dordrecht; NL
Langue: Anglais
213,99 € (DE)
219,99 € (AT)
236,00 CHF (CH)
Available
XXX, 615 p.

BC; Hardcover, Softcover / Mathematik/Arithmetik, Algebra; Algebraische Geometrie; Verstehen; Abelian variety; Dimension; Grad; K-theory; algebraic geometry; Algebraic Geometry; K-Theory; Field Theory and Polynomials; Applications of Mathematics; Global Analysis and Analysis on Manifolds; Algebraische Topologie; Algebra; Angewandte Mathematik; Mathematische Analysis, allgemein; BB; EA

Cohomological Methods.- Lectures on algebro-geometric Chern-Weil and Cheeger-Chern-Simons theory for vector bundles.- Deligne cohomology and the geometric (co)bar constructions.- Kunga-Satake varieties and the Hodge conjecture.- Hodge and Weil classes on abelian varieties.- Bloch-Kato conjecture and motivic cohomology with finite coefficients 117.- Chow Groups and Motives.- Indecomposable hogher Chow cycles.- Equivalence relations on algebraic cycles.- Letter to Dick Gross on higher Abel-Jacobi maps.- Finiteness of torsion in the codimension-two Chow group: An Axiomatic Approach.- Algebraic cycle complexes: Basic Properties.- Algebraic cycles on abelian varieties: Application of abstract Fourier theory.- Motives and filtrations on Chow groups II.- Zero cycles on singular varieties.- Arithmetic Methods.- Prepotentials of Yukawa couplings of certain Calabi-Yau 3-folds and mirror symmetry.- Weight-monodromy conjecture for 1-adic representations associated to modular forms: A supplement to the paper [10].- Cohomology computations related to the 1-adic Abel-Jacobi map modulo l.- Integral elements in K-theory and products of modular curves.- Appendix to Scholl’s article: A counterexample to a conjecture of Beilinson.- Reduction of abelian varieties.- The arithmetic of cetain Calabi-Yau varieties over number fields.- Classical and elliptic polylogarithms and special values of L-series.
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