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ISBN: 0792361938

ID: 14651030393

[EAN: 9780792361930], New book, [PU: Springer], JAMES LEWIS,NORIKO YUI,B. BRENT GORDON,SHUJI SAITO,STEFAN MÃ¼LLER-STACH,ALGEBRA AND TRIGONOMETRY,GEOMETRY, Mathematics|Algebra|General, Mathematics|Geometry|Algebraic, Mathematics|Number Theory, Hardcover. 615 pages. Dimensions: 9.1in. x 6.4in. x 1.6in.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. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN.

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ISBN: 9780792361930

ID: e8bc82a0320aeca915a9a9844daa5c3c

Proceedings of the NATO Advanced Study Institute held in Banff, Alberta, Canada, June 7-19, 1998 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. br/ 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. br/ 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. Bücher / Fremdsprachige Bücher / Englische Bücher 978-0-7923-6193-0, Springer

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ISBN: 9780792361930

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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. br/ 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. br/ 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. Proceedings of the NATO Advanced Study Institute held in Banff, Alberta, Canada, June 7-19, 1998 Buch (fremdspr.) Bücher>Fremdsprachige Bücher>Englische Bücher, Springer

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ISBN: 9780792361930

ID: 978079236193

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. Books, Science and Nature, The Arithmetic and Geometry of Algebraic Cycles Books>Science and Nature, Springer Netherlands

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Title: | ## The Arithmetic and Geometry of Algebraic Cycles |

ISBN: |

** Details of the book - The Arithmetic and Geometry of Algebraic Cycles**

EAN (ISBN-13): 9780792361930

ISBN (ISBN-10): 0792361938

Hardcover

Publishing year: 2000

Publisher: Springer-Verlag GmbH

652 Pages

Weight: 1,128 kg

Language: eng/Englisch

Book in our database since 31.05.2007 15:27:05

Book found last time on 29.04.2017 11:11:14

ISBN/EAN: 0792361938

ISBN - alternate spelling:

0-7923-6193-8, 978-0-7923-6193-0

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