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B. Brent Gordon#James D. Lewis#Stefan Müller-Stach#Stefan Müller-Stach#Shuji Saito:
The Arithmetic and Geometry of Algebraic Cycles - new book2000, ISBN: 9780792361947
ID: 666898929
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 Bücher > Fremdsprachige Bücher > Englische Bücher Taschenbuch 29.02.2000 Buch (fremdspr.), Springer, .200
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ISBN: 9780792361947
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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 978-0-7923-6194-7, Springer
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ISBN: 9780792361947
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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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2000, ISBN: 9780792361947
ID: 2838108
Softcover reprint of the original 1st ed. 2000, Softcover, Buch, [PU: Kluwer Academic Publishers]
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Title: | The Arithmetic and Geometry of Algebraic Cycles |
ISBN: | 9780792361947 |
Details of the book - The Arithmetic and Geometry of Algebraic Cycles
EAN (ISBN-13): 9780792361947
ISBN (ISBN-10): 0792361946
Paperback
Publishing year: 2000
Publisher: Springer-Verlag GmbH
648 Pages
Weight: 0,956 kg
Language: eng/Englisch
Book in our database since 18.05.2007 16:40:59
Book found last time on 03.02.2017 04:27:16
ISBN/EAN: 9780792361947
ISBN - alternate spelling:
0-7923-6194-6, 978-0-7923-6194-7
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